How do you find the integral of f(x)=x5lnx using integration by parts?

1 Answer
Oct 31, 2015

I=x66(lnx16)+C

Explanation:

lnx=udxx=du

x5dx=dvv=x66

udv=uvvdu

I=x5lnxdx=x66lnxx66dxx=x66lnx16x5dx

I=x66lnx16x66+C

I=x66(lnx16)+C