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# pre22 - x dx(c Z 1 √ x 5 x 2 1 dx 5(25 points Evaluate...

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MATH 22 Pretest July 5, 2005 NAME: (from Math 21, Exams 4 & 5 June, 2004) (Last, First) 3. (25 points ) Find the most general anti-derivatives. (a) 3 x 2 + 5 (b) x + 1 x 2 (c) 3 e x + 2 cos x 3. (20 points ) Find the general indefinite integral. (a) Z 3 x 2 + 5 dx (b) Z sec 2 x dx (c) Z 1 x 2 + 1 dx

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2 4. (20 points ) Use Part 2 of the Fundamental Theorem to evaluate the given integrals. (a) Z 4 1 1 x 3 dx (b) Z 1 0 e x dx (c)
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Unformatted text preview: x dx (c) Z 1 ( √ x + 5 x 2 + 1 ) dx 5. (25 points ) Evaluate the integral by using a substitution. (a) Z sin 2 x dx, with u = 2 x (b) Z x p x 2 + 3 dx, with u = x 2 + 3 (c) Z √ 5 t-3 dx. 3 5. (15 points ) Find the following indeﬁnite integrals. (a) Z cos 3 x dx (b) Z x 2 p 5-x 3 dx...
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