What is the antiderivative of lnxx12?

1 Answer
Jun 27, 2018

lnxx12dx=2x(lnx2)+C

Explanation:

Integrate by parts:

lnxx12dx=lnxx12dx

lnxx12dx=2lnxddx(x12)dx

lnxx12dx=2x12lnx2x12ddx(lnx)dx

lnxx12dx=2x12lnx2x121xdx

lnxx12dx=2x12lnx2x12dx

lnxx12dx=2x12lnx4x+12+C

lnxx12dx=2x12(lnx2)+C