## anonymous 4 years ago An antiderivative of 3x^2/(2x^3-5) is:

1. hba

take its integral

2. slaaibak

$3x^2 \over 2x^3 - 5$ ?

3. slaaibak

Integrate by substitution.

4. anonymous

is look a quotant rule to me

5. slaaibak

no. it's integration, not differentiation

6. campbell_st

this is a log function let u = 2x^3 - 5 du/dx = 6x^2 1/2 du = 3x^2 so you are finding the antiderivative of $\frac{1}{2} \int\limits \frac{du}{u} = \frac{1}{2} \ln( u) + c$