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|(x + 1)°sinx dx -(x + 1)³ cos x + 3 (x + 1)² sin x – 6 (x + 1)cosx – 6 sinx + C (x + 1)³ cos x – 3 (x + 1)² sin x +6 (x + 1)cosx – 6 sinx + C -(x + 1)³ cos x+3 (x + 1)² sin x + 6 (x + 1)cosx – 6 sinx + C D (x + 1)³ cos x + 3 (x + 1)² sin x +6 (x + 1)cosx – 6 sinx + C

|(x + 1)°sinx dx -(x + 1)³ cos x + 3 (x + 1)² sin x – 6 (x + 1)cosx – 6 sinx + C (x + 1)³ cos x – 3 (x + 1)² sin x +6 (x + 1)cosx – 6 sinx + C -(x + 1)³ cos x+3 (x + 1)² sin x + 6 (x + 1)cosx – 6 sinx + C D (x + 1)³ cos x + 3 (x + 1)² sin x +6 (x + 1)cosx – 6 sinx + C

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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4. Integration By Parts (Short-Cut Method)

4. * Sa+ (х + 1)3sinx dx А — (х + 1)3 сos x + 3 (х + 1)2 sin x — 6 (х + 1)cosx — 6 sinx + с B (х + 1)3 сos x —3 (х + 1)2 sinx+6(x + 1)cоosx — 6 sinx + с C - (х + 1)3 сos x+3 (x+1)2 sinx+6(х+1)сosx — 6 sinx + C D (х + 1)3 сos x + 3 (х + 1)? sin x +6 (х+ 1)сosx —6 sinx + C А O E None of the Above
Transcribed Image Text:4. * Sa+ (х + 1)3sinx dx А — (х + 1)3 сos x + 3 (х + 1)2 sin x — 6 (х + 1)cosx — 6 sinx + с B (х + 1)3 сos x —3 (х + 1)2 sinx+6(x + 1)cоosx — 6 sinx + с C - (х + 1)3 сos x+3 (x+1)2 sinx+6(х+1)сosx — 6 sinx + C D (х + 1)3 сos x + 3 (х + 1)? sin x +6 (х+ 1)сosx —6 sinx + C А O E None of the Above
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