So, I have a question about finding the integral of x^3(1+x^2)^1/2(adsbygoogle = window.adsbygoogle || []).push({});

This is basically what I did. Not sure if the answer is right or not.

I did the following u substitution.

u = 1 + x^2

u - 1 = x^2

du = 2xdx

x^2du/2 = 2xdu * x^2

x^2du/2 = x^3du

(u - 1)du/2*u^1/2

distributed the u

1/2*u^3/2 - u^1/2

u^2/2 = u

1/2 ∫ u = 1/4*u^2

= 1/4*(1+x^2)^2

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Did I get the right anti derivate of this function?

**Physics Forums | Science Articles, Homework Help, Discussion**