Find the Integral (x^2)/(x^3+5)

Math
Let . Then , so . Rewrite using and .
Tap for more steps…
Let . Find .
Tap for more steps…
Differentiate .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Add and .
Rewrite the problem using and .
Simplify.
Tap for more steps…
Multiply and .
Move to the left of .
Since is constant with respect to , move out of the integral.
The integral of with respect to is .
Simplify.
Replace all occurrences of with .
Find the Integral (x^2)/(x^3+5)

Do you need help with math?

Try our mobile app

Our app allows students to get instant step-by-step solutions to all kinds of math troubles.

Our MATH EXPERTS

JackHudson

Charlie Trom

Lucy Evel

Scroll to top