Hey y'all,

The instructions for this problem are:

First make a substitution then evaluate the integral using integration by parts.

Here is what I did, can someone let me know if I'm on the right track?

$\displaystyle \int 2t^{9}e^{-t^5} dt$

$\displaystyle 2 \int t^{9}e^{-t^5} dt$

$\displaystyle u = -t^5$

$\displaystyle du = -5t^4 dt$

$\displaystyle -\frac{1}{5} du = t^4 dt$

$\displaystyle -\frac{1}{5} \cdot 2 \int -u \cdot e^u du$

* It that what I'm supposed to do for the substitution part?

* If this is correct, do I plug my original numbers back in and then do my integration by parts the usual way?

Thanks!!