Calculus 1. Use areas to compute the integral. Draw pictures and show your work. 40 points each =80 points 2. Use the Fundamental Theorem of Calculus to evaluate the integral. Show all your work. 40...

Need to show all work


Calculus 1. Use areas to compute the integral. Draw pictures and show your work. 40 points each =80 points     2. Use the Fundamental Theorem of Calculus to evaluate the integral. Show all your work.  40 points each =80 points     3. Evaluate the integrals  (40 points part a, 60 part b, 50 part c=150 points) 4. Use substitution to find  (60 points)   5. Use substitution again to find  (70 points) 6. If  (40 points) Then find f ′ ( 3 )   7. Draw the graph (50 points for each part, a and b, so 100 points and 25 points for part c =125 total) Find  the area under the graph and above the x-axis between x=0 and x=3 by dividing the interval between 0 and 3 into 6 rectangles.  a) Use left end points to estimate the area.  b) Use right end points to estimate the area. For both parts give you answer as a decimal with 4 places.  (n.1245 as an example. ) c) By setting up the definite integral, find the EXACT value of the area between 0 and 3.    EC. Do the same problem and use the midpoint of each rectangle. (75 points) Of the three methods, left endpoints, right endpoints and midpoints, which was the best approximation?