Done by parts integral and simplify

  1. i have to integrate the next:

    (x^2)(e^x)dx/((x+2)^2)

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

    Is (4x+4) (e^x) dx/(x+2)^2 easier to be integrated?
     
  2. jcsd
  3. 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.
     
  4. Thank You a lot!
     
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