7. Use integration by parts to prove that for any positive integer n, п - 1 Scos | cos"x dx = 1 cosn-1x sin x + cos"-2x dx

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
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7. Use integration by parts to prove that for any positive integer n,
1
п — 1
Scos
| cos"x dx = cos"-1x sin x +
cos"-2x dx
Transcribed Image Text:7. Use integration by parts to prove that for any positive integer n, 1 п — 1 Scos | cos"x dx = cos"-1x sin x + cos"-2x dx
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