# Math Help - Can you help me with this integral?

1. ## Can you help me with this integral?

I'm having trouble solving this integral. It would be great if anybody could help me out, I admit to being a pretty poor mathematician and Maple couldn't solve it for me...

$\int_{0}^{Rcluster}(1+(r/R_c)^2)^B *r^2 dr$

Rcluster, B and Rc are known variables.

-Daniel

2. I have a mind block at the finish, but substitution clears the integrand up:

$u=1+\frac{r^2}{R_c^2}$
$du=\frac{2rdr}{R_c^2}$

Integral then becomes: $\int 0.5u^B R_c^3 \sqrt{1-u}du$

3. Thanks a lot, that should get me started. And thanks for the quick response!