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asm101W10-06 - MATH 101 Assignment Date February 8 2009...

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MATH 101 - Assignment Date: February 8, 2009 In-class Assignment 06 The integral smorgasborg Closed book (except the integration guide line, last page) For each question compute one of the two given integrals - 2 hours. 1. (a) Compute the following indefinite integral ˆ e 2arccos x d x . (b) Compute the following indefinite integral ˆ e 2arcsinh x d x . 2. (a) Compute ˆ cos2 x + 6 sin2 x 2 d x . (b) Find the following indefinite integral ˆ ( cos x + sin x ) 3 d x . 3. (a) Evaluate ´ 2 π 0 sin 7 x cos 8 x d x . 1
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MATH 101 Assignment KEYANO COLLEGE (b) Evaluate ˆ π 2 - π 2 sin 2 x cos 3 x d x . 4. (a) Compute ˆ 1 x 2 - 6 x + 5 d x (b) Compute ˆ 1 - x 2 - 6 x - 5 d x 5. (a) Calculate the integral ˆ 3 x 3 4 - x 2 d x . (b) Calculate the integral ˆ x 2 - 4 x d x . 6. (a) Evaluate ˆ 1 ( x - 2 )( x 2 + 4 ) d x . (b) Calculate I = ˆ 2 x 3 + x 2 - 6 x + 7 x 2 + x - 6 d x . 7. (a) Compute the following integral: I = ˆ ln π - 2ln2 ln π - ln2 e x sin ( e x ) d x . (b) Compute I = ´ π 4 0 1 + sin x cos 2 x d x.
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