- #1

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## Homework Statement

∫cosx(lnsinx)dx

## Homework Equations

## The Attempt at a Solution

u=lnsinx dv=cosxdx

du=cosx/sinx dx v=sinx

=(lnsinx)(sinx)-∫(sinx)(cosx/sinx)dx

=(lnsinx)(sinx)-(sinx)+C

I thought that I did this correctly, but my teacher said that u should equal sinx. Why would u not equal lnsinx?