How do you integrate ∫x3ex by integration by parts method?
1 Answer
Using integration by parts:
Explanation:
The equation for integration by parts is this:
I think mathematicians use similar letters on purpose to confuse people. Thats why they chose
Anyways, we have to pick our
let
That leaves the rest of the integral to be
let
To recap, so far, we have
u=x3 du=3x2dx dv=exdx v=ex
so
So lets go again!
u=3x2 du=6xdx dv=exdx v=ex
So lets go again (because calculus is so fun)!
u=6x du=6dx dv=exdx v=ex
Simplify
Then you can take out the
Don't forget to add + C at the end, to signify that there is a group of equations what this integral could be.