Hi guys,
I am having a hard time remembering how to find this type of integral:
integral from 0 to 3 of: (y^2)(9+(4(y^2)))^(1/2) dy
I thought it had some u-sub, but that didn't work because u would equal 9 + 4y^2 but then that would make du = 8y, which is not part of the integral. Could you please help me with this? Thanks in advance!
that is fine. now, you begin the painful process of integrating things like and ! You can use integration by parts or reduction formulas.
just leave the for a while. Apply the reduction formula to the , and you can simplify in such a way that you only have to work on in the end.
Use the fact (which can be derived via integration by parts) that . if you use that on the first integral, you end up with
and is something you can do by parts, or reuse the above formula with . Or the easy way is to look up the formula for it. most texts will have the integral for listed in the book cover