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7. (10 pts) A function u or dv is given. Find the piece u or dv which is not given, calculate du and v, and
7. (10 pts) A function u or dv is given. Find the piece u or dv which is not given, calculate du and v, and apply the integration by parts formula. Sudv = uv - Sv du S x(5x - 2)10 dx, u=x (similar to 8.3 #1-6) 8. (10 pts) Evaluate: J x In (x + 1) dx by doing the integral by parts. (similar to 8.3 #7-18) 9. (10 pts) Use the following integral table to solve the following problem. (similar to 8.3 #25-30) State which integral you used. http://scidiv.bellevuecollege.edu/dh/Calculus_all/CalculusRefFacts Note: If you use formulas #28 and #29, there is a typo. "a2" should just be "a". S sin' (3x + 2) dx 10. (10 pts) (similar to 8.3 #34) a. Before evaluating the integrals, which do you think is larger for (0 S x S TT) ? (A or B) Hint: Make a graph first before attempting the integrals. A = S"(1- x) * cos(x) dx B = J" x * sin(x) dx b. Evaluate integral A. c. Evaluate integral B. d. Was your prediction in part (a) correct? (yes or no?)
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