Question

integration of x^3e^x^2

Answer 1

Solution:-

Use substitution method by considering x^2=u, so that it is x dx=1/2 du.

The given integral is thus transformed to 1/2ue^u du. Now integrate it by parts to have 1/2(ue^u−e^u)+C.

Now substitute back x^2 for u, to have the Integral as

1/2(x^2e^x^2−e^x^2)+C