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1. (11 points) Evaluate the following definite integrals (a) f2 (2x +3 -x3)dx (b) sin' (r) cos(r ) dx 2. (6 points) Use the

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1. (11 points) Evaluate the following definite integrals (a) f2 (2x +3 -x3)dx (b) " sin' (r) cos(r ) dx 2. (6 points) Use the First Fundamental Theorem of Calculus to find the following: (a) Dr (So 12 4 1dt) (b) DI ( Ji 72 + 1 "3. [7 points] Find the value of C guaranteed by the Mean Value Theorem for Integrals fur the mctcion x) 2 1'2 + 5 on the interval [3,6]

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