Use integration by parts to prove the reduction formula. $\int(\ln x)^{n} d x=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x$

Integrals

Integration by Parts

Name: Problem 51, Chapter 7: Calculus
Uploaded: 2020-03-31T13:45:31-08:00
Duration: 3 min 18 s
Channel: Lucas Gagne
Description: Use integration by parts to prove the reduction formula. ∫(lnx)^x d x=x(lnx)^x-n ∫(lnx)^-1 d x

Question

Use integration by parts to prove the reduction formula. ∫(lnx)^x d x=x(lnx)^x-n ∫(lnx)^-1 d x

Lucas Gagne · Accepted Answer

step 1 Hello and welcome. We are looking at Chapter 5, Section 5, Problem 29. Rest approve a reduction

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