Integral Worksheet With Answers. 33) f′ (x) = x3 − 8x2 + 16x + 1, f(0) = 0. Integrate the following with respect to x.
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Z (2T3 T2 +3T 7)Dt 5.
Web integration worksheet with solutons. 35) f ″ (x) = x2 + 2. ∫ 10t−3 +12t−9 +4t3dt ∫ 10 t − 3 + 12 t − 9 + 4 t 3 d t solution.
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When y = 2, we have x = −3 and x = 1. Here is a graphic preview for all of the indefinite integration for calculus worksheets. 5 6 5 6 5 3 8 ( ) 8 ( ) 12 dx x x dx xxxx xx ln x ln x c x x 11 22 31 22 31 22 11 5.
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(5 8 5) 4 522 5 3 x x x dx x x c 4 2. ∫ 40x3 +12x2 −9x+14dx ∫ 40 x 3 + 12 x 2 − 9 x + 14 d x. ∫ 4x6 −2x3 +7x−4dx ∫ 4 x 6 − 2 x 3 + 7 x − 4 d x solution.
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Integrals evaluate the following inde nite integrals: 31) f′ (x) = √x + x2, f(0) = 2. Rr [0;a] [0;b] cdawhere a, b, care all real positive constants.