How do I integrate #f(x)=(x^3e^(2x))/(x^2 +1)^2# by parts? Calculus Techniques of Integration Integration by Parts 1 Answer Jim H Mar 28, 2015 Wolfram Alpha gives an answer of #1/2[(1+i)e^(2i)Ei(2x-2i)+(1-i)e^(-2i)Ei(2x+2i)+(e^2x)/(x^2+1)]+C# Good luck. Answer link Related questions How do I find the integral #int(x*ln(x))dx# ? How do I find the integral #int(cos(x)/e^x)dx# ? How do I find the integral #int(x*cos(5x))dx# ? How do I find the integral #int(x*e^-x)dx# ? How do I find the integral #int(x^2*sin(pix))dx# ? How do I find the integral #intln(2x+1)dx# ? How do I find the integral #intsin^-1(x)dx# ? How do I find the integral #intarctan(4x)dx# ? How do I find the integral #intx^5*ln(x)dx# ? How do I find the integral #intx*2^xdx# ? See all questions in Integration by Parts Impact of this question 1749 views around the world You can reuse this answer Creative Commons License