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9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 2/11 Watch the video below then answer the question. True False Click here to view the transcript = sin6(2t) + C.sin5(2t) cos(2t) dt 1 12 1. [–/0.25 Points] SCALC8 7.2.VE.001.DETAILS MY NOTES javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') https://college.cengage.com/mathematics/blackboard/shared/content/video_explanations/transcripts/v00446b.txt 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 3/11 Watch the video below then answer the question. True False Click here to view the transcript = tan(5t) + C.sec2(5t) dt 1 5 2. [–/0.25 Points] SCALC8 7.2.VE.002.DETAILS MY NOTES javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') https://college.cengage.com/mathematics/blackboard/shared/content/video_explanations/transcripts/v01729a.txt 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 4/11 Video Example EXAMPLE 3 Evaluate SOLUTION If we write the integral is no simpler to evaluate. Using the half-angle formula for however, we have Notice that we mentally made the substitution when integrating Another method for evaluating this integral was given in this exercise. sin2(3x) dx. π 0 sin2(3x) = 1 − cos2(3x), sin2(x), sin2(3x) dx = (1 − cos(6x)) dx = x − = π − − 0 − = π 0 1 2 π 0 1 2 π 0 1 2 1 2 u = 6x cos(6x). 3. [–/0.16 Points] SCALC8 7.2.AE.003.DETAILS MY NOTES PRACTICE ANOTHER javascript:openWindow('https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?prod=stewart_ae&asset=6et_07_02_03', 'applet', 'height=400,width=650,scrollbars=yes,resizable=yes,menubar=yes') https://www.webassign.net/scalcet7/7-1-047.gif javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 5/11 Video Example EXAMPLE 5 Evaluate SOLUTION If we separate one factor, we can express the remaining factor in terms of tangent using the identity We can then evaluate the integral by substituting so that = = = = = = tan6(5x) sec4(5x) dx. sec2(5x) sec2(5x) sec2(5x) = 1 + tan2(5x). u = tan(5x) du = dx. tan6(5x) sec4(5x) dx tan6(5x) sec2(5x) sec2(5x) dx tan6(5x)(1 + tan2(5x)) sec2(5x) dx 1 5 u6 du 1 5 u6 + du + + Cu 9 45 + tan9(5x) + C1 45 4. [–/0.25 Points] SCALC8 7.2.AE.005.DETAILS MY NOTES PRACTICE ANOTHER javascript:openWindow('https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?prod=stewart_ae&asset=6et_07_02_05', 'applet', 'height=400,width=650,scrollbars=yes,resizable=yes,menubar=yes') javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 6/11 Evaluate the integral. Evaluate the integral. Evaluate the integral. sin5(θ) cos5(θ) dθ π/2 0 3 cos2(θ) dθ π/2 0 sin2(x) cos2(x) dx π/2 0 5. [–/0.25 Points] SCALC8 7.2.003.DETAILS MY NOTES PRACTICE ANOTHER 6. [–/0.25 Points] SCALC8 7.2.007.DETAILS MY NOTES PRACTICE ANOTHER 7. [–/0.25 Points] SCALC8 7.2.011.DETAILS MY NOTES PRACTICE ANOTHER javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet8_07_02_003&prod=scalcet8', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_007&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_013&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 7/11 Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) Evaluate the integral. (Use C for the constant of integration.) Evaluate the integral. (Use C for the constant of integration.) 9 cos2(x) tan3(x) dx 2 tan(x) sec3(x) dx 9 tan2(x) dx 8. [–/0.25 Points] SCALC8 7.2.505.XP.DETAILS MY NOTES PRACTICE ANOTHER 9. [–/0.25 Points] SCALC8 7.2.021.DETAILS MY NOTES PRACTICE ANOTHER 10. [–/0.25 Points] SCALC8 7.2.023.DETAILS MY NOTES PRACTICE ANOTHER javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_017&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_021&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_023&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 8/11 Evaluate the integral. Evaluate the integral. (Use C for the constant of integration.) Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 9 tan5(x) sec4(x) dx π/3 0 4 tan3(x) sec(x) dx 2x sec(x) tan(x) dx 11. [–/0.25 Points] SCALC8 7.2.510.XP.DETAILS MY NOTES PRACTICE ANOTHER 12. [–/0.25 Points] SCALC8 7.2.027.DETAILS MY NOTES PRACTICE ANOTHER 13. [–/0.25 Points] SCALC8 7.2.033.DETAILS MY NOTES PRACTICE ANOTHER javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_027&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_029&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_035&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 9/11 Evaluate the integral. Evaluate the integral. (Use C for the constant of integration.) Evaluate the integral. (Use C for the constant of integration.) 5 cot2(x) dx π/2 π/6 8 csc4(x) cot6(x) dx 7 sin(8x) cos(5x) dx 14. [–/0.25 Points] SCALC8 7.2.035.DETAILS MY NOTES PRACTICE ANOTHER 15. [–/0.25 Points] SCALC8 7.2.511.XP.DETAILS MY NOTES PRACTICE ANOTHER 16. [–/0.25 Points] SCALC8 7.2.041.DETAILS MY NOTES PRACTICE ANOTHER javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_037&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_043&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 10/11 Evaluate the integral. (Use C for the constant of integration.) This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Evaluate the integral. Evaluate the integral. (Use C for the constant of integration.) 8 sin2(x) cos3(x) dx 14 sin2(x) cos3(x) dx sin2(πx) cos5(πx) dx 17. [–/0.25 Points] SCALC8 7.2.001.MI.DETAILS MY NOTES PRACTICE ANOTHER 18. [–/0.25 Points] SCALC8 7.2.001.MI.SA.DETAILS MY NOTES PRACTICE ANOTHER 19. [–/0.25 Points] SCALC8 7.2.501.XP.DETAILS MY NOTES PRACTICE ANOTHER javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_001&prod=scalcet6', 1) javascript:open_bc_enhanced('master_it_alt', '/v4cgi/questions/tutorial_popup.tpl?struct=ApADEFDeDsCoAdCXDbEYDYBwCoBVCRANBWCrAVCXDYABDDBVEcCpDRDoDhDDDuESDOEWCdDEzUEHDjDQBLEvByBpDTBNAECfEFAJESARCvBIDjELAmEKDCDeBDANBFEcCnCKDVBAAeCUCUByBNAXBgAIAbDGDPDIASBcCoBmAsDhDlAvEBEVBfEcBDBYDLDOCwAVCCCUEWCcEMDtBxDhBnBSEuAuEJDLDHBkESCQCcBBEPBrEcBxEqAUDVCDAPElEWCnEwBxBCEYEmAABEAKCNDWCtAkEyBfDVDTAAEnBEDaESCNEwDyCBAmAFAvCeERCjEiDFBjBFDSBCApAnDpArDtAbDfASErBnDgCfCaDpDMCODCDWAgDaAHBtBCAACSCmCuAqBsATuUDa&UserPass=afb7318d302167216778b522241fe7e6¤t=0&all=0') javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') javascript:open_bc_enhanced('watch_it', 'https://college.cengage.com/geyser/cengage_9780538738101/html/watchit_player/?asset=scalcet6_07_02_005&prod=scalcet6', 1) javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') 9/2/2020 Unit 5-Trigonometric Integrals - Math 208, Fall 2020 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=24456562 11/11 Evaluate the integral. Home My Assignments Copyright 2020 Cengage Learning, Inc. All Rights Reserved 9 sin2(t) cos4(t) dt π 0 Submit Assignment Save Assignment Progress 20. [–/0.25 Points] SCALC8 7.2.010.DETAILS MY NOTES PRACTICE ANOTHER javascript:openWindow('https://www.chegg.com/tutors/Calculus-online-tutoring/?campaign=webassign2&utm_source=webassign&utm_medium=Affiliate&utm_campaign=tutor&utm_content=Calculus','Chegg Tutor', 'width=760,height=620,scrollbars=yes,resizable=yes') https://www.cengage.com/legal/#copyright