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Two integrations by parts will reduce your integral to several terms in powers of x times exp(-x2) plus a form of the normal density function.

Paul M.
02/02/23
Stanley S.
asked 02/02/23Vol(S) = Antiderivative b to a of A(x)dx
A(x) is approximated by the function f(x) = (x^5)/(e^x^2) on the interval [0, 2]. Using this, find the volume.
Are you sure you have submitted this problem correctly?
Two integrations by parts will reduce your integral to several terms in powers of x times exp(-x2) plus a form of the normal density function.
Paul M.
02/02/23
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Stanley S.
Hi, yes this problem is submitted correctly. The question asked to find the volume of the object using the function f(x). I used u-substitution first and then integration by parts to solve. However, I wasn't sure if the method is correct.02/02/23