What is the antiderivative of # ln x^(1/3)#?

Question

2894 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-19T01:07:27

Use integration by parts and simplify #lnx^(1/3)# to #(1/3)lnx#

Let #u =(1/3) lnx# and #dv=dx#

Then, #du=1/(3x)# and #v=x#

Using the integration by parts formula ...

#uv-intvdu#

#x/3lnx-intx(1/(3x))dx#

Simplify ...

#(x/3)(lnx-1)+C#

hope that helped