A problem with integration by parts

Question

$$\int x^2e^{x^3} \, dx =\frac{x^3}{3}e^{x^3} - \int x^5e^{x^3} \, dx $$

How to solve this exercise? Integration by parts only makes a larger mess...

The integration by parts was not necessary. But it was useful. Now you know how to find $\int x^5e^{x^3}\,dx$.

Idonknow · Accepted Answer · 2013-01-05 04:49:14Z

up vote 2 down vote accepted

The integral can be evaluated by using the substitution $t=x^3$

answered Jan 5 at 4:49

Idonknow
1,362112

user17762 · Answer 2 · 2013-01-05 04:44:44Z

up vote 2 down vote

Hint:

Make the substitution $x^3 = t$

answered Jan 5 at 4:44

user17762
76k8106230

2 Answers