How do you use Integration by Substitution to find ∫x2⋅√x3+1dx?
1 Answer
Using integration by substitution, we find the answer to this problem to be
Explanation:
We need to find a value for
Now we can substitute in
Now this is a problem that we can use the anti-power rule on: this integral becomes
A very important step that is often overlooked at the end of the problem is that because this is an indefinite integral, we need to substitute back in so that the final answer is in terms of the variable we started with (in this case,