The problem is:
∫(x^2)e^[-(x^3)/4]
The attempt at a solution:
Is it equals to (-4/3)e^[-(x^3)/4]???
I am really confuse here. Any help would be appreciated
You actually do take the term into account!
When you make the substitution , we see that
At this stage, let's go back to the original integral:
.
Observed that I highlighted the part that appeared in our term! So we see that .
Therefore, .
Then integrating results in and back substitution gives us the desired result .
Does this clarify what's going on here?