Question

An antiderivative of 3x^2/(2x^3-5) is:

Answer 1

take its integral

Answer 2

\[3x^2 \over 2x^3 - 5\] ?

Answer 3

Integrate by substitution.

Answer 4

is look a quotant rule to me

Answer 5

no. it's integration, not differentiation

Answer 6

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

\[\frac{1}{2} \int\limits \frac{du}{u} = \frac{1}{2} \ln( u) + c\]