Question

evaluate integral x^3 ln x dx

Answer 1

Integration by parts would work nicely here.

Answer 2

Stepwise:

Answer 3

integral x^3 ln x dx
1) Differentiate ln x = 1/x ; Integrate x^3 = (x^4)/4
2) Rewrite integral expression
integral x^3 ln x dx = (lnx)(x^4)/4 - integral ((x^4)/4)(1/x)
=(x^4lnx)/4 - x^4/16 + constant