How do you integrate int x^2e^(x^3)∫x2ex3 by parts?
1 Answer
Dec 18, 2016
Using integration by parts is very artificial for this integral. Substitution is much more reasonable.
Explanation:
Let
The integral becomes
= 1/3 e^u + C=13eu+C
= 1/3 e^(x^3) + C=13ex3+C
If I am told that I must use parts ,
I'll let
so that
And
= 1/3 e^(x^3) + C=13ex3+C .