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Unformatted text preview: Solution: y ( x ) = Question 2. Evaluate the following integrals. a) ! cos x sin 2 x dx . 1 b) ! cos( π/x ) x 2 dx . c) ! (ln x ) 2 x dx . d) ! t 2 e t dt . 2 e) ! x x + 10 dx . Question 3. First make a substitution and then use integration by parts to evaluate ± cos √ x dx . Step 1. Substitution: Step 2. Integration by parts: 3 Question 4. Use trigonometric identities (e.g. sin 2 x + cos 2 x = 1) and an appropriate substitution to evaluate ! sin 5 x cos 10 x dx . 4...
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 Fall '08
 DUMITRISCU
 Trigraph, dx, Frithjof Lutscher, Angelika Welte

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