Student: Jessica Clements Date: 05/04/21 Course: MTH-14 n/16 cos 4x dx 'Click to view the table of general integration formulas. F(x)dx = F(b)-F(a) a Let F(x) = f(x)dx = F(b) - F(a). To evaluate the...


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Student: Jessica Clements<br>Date: 05/04/21<br>Course: MTH-14<br>n/16<br>cos 4x dx<br>'Click to view the table of general integration formulas.<br>F(x)dx = F(b)-F(a)<br>a<br>Let F(x) = f(x)dx = F(b) - F(a). To evaluate the integral, first find F(x).<br>%3D<br>F(x) =- sin 4x+ C<br>4.<br>Because of the subtraction, a constant in F(x) will not affect the value of E(b)- F(a). Thus, there is no need to include the<br>constant C.<br>1/16<br>cos 4x dx =F<br>16<br>- F(0)<br>%3D<br>T/16<br>1<br>sin 4x<br>%3D<br>Next, find F<br>16<br>금)<br>1<br>%3D<br>F<br>16<br>sin 4<br>4.<br>16<br>2<br>1<br>4/2<br>Find F(0).<br>1<br>sin 4(0)<br>F(0)<br>%D<br>4<br>= 0<br>Finally, evaluate the integral.<br>%3D<br>

Extracted text: Student: Jessica Clements Date: 05/04/21 Course: MTH-14 n/16 cos 4x dx 'Click to view the table of general integration formulas. F(x)dx = F(b)-F(a) a Let F(x) = f(x)dx = F(b) - F(a). To evaluate the integral, first find F(x). %3D F(x) =- sin 4x+ C 4. Because of the subtraction, a constant in F(x) will not affect the value of E(b)- F(a). Thus, there is no need to include the constant C. 1/16 cos 4x dx =F 16 - F(0) %3D T/16 1 sin 4x %3D Next, find F 16 금) 1 %3D F 16 sin 4 4. 16 2 1 4/2 Find F(0). 1 sin 4(0) F(0) %D 4 = 0 Finally, evaluate the integral. %3D

Jun 05, 2022
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