Use integration by parts to prove the reduction formula. a. (ln x)n dx = x(ln x)n

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Use integration by parts to prove the reduction formula.
a. ∫ (ln x)n dx = x(ln x)n - n ∫ (ln x)n-1 dx
b. ∫ tannx dx = = (tann-1 x)/(n - 1) - ∫ tann-2 x dx (n ≠ 1)

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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Mar 04, 2016 07:04 AM

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Use integration by parts to prove the reduction formula. a. (ln x)n dx = x(ln x)n

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a Let u ln x n dv dx du n1nx n1 dx x v x By Equation 2 Inx n dx x ln x n nx lnx n1 dx x x lnx n n ...View the full answer

Calculus Early Transcendentals

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