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?
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.