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Done by parts integral and simplify

by Yegor
Tags: integrate
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Feb3-05, 09:18 AM
P: 147
i have to integrate the next:


It should be done by parts.
How I can simplify it?

Is (4x+4) (e^x) dx/(x+2)^2 easier to be integrated?
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Feb3-05, 10:34 AM
P: 641
the easiest way to do this is by parts.
let u=(x^2)(e^x)
let dv = 1/(x+2)^2

get du by differentiating u by x
get v by integrating dv in terms of x

then write out u*v - integral(v*du)
the integral simplifies pretty nicely.
Feb3-05, 10:41 AM
P: 147
Thank You a lot!

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