Derive the reduction formulas Sx fx cos xdx = x Sx nf x x cos x dx

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Derive the reduction formulas

Sx fx cos xdx = x Sx nf x x" cos x dx = x" sin x - n x1 sin xdx x" sin x dx = -x" cos x + n +nfx1 Sx x-1 cos

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 08:03 AM

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Derive the reduction formulas Sx fx cos xdx = x Sx nf x x cos x dx

Question:

Sx fx cos xdx = x Sx nf x x" cos x dx = x" sin x - n x−1 sin xdx x" sin x dx = -x" cos x + n +nfx²1 Sx x-1 cos x dx

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For fx cos x dx let u x and dv cos x dx Then we have U x dv cos x d...View the full answer

Calculus

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