integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
(x*(3 + 2*x^2))/(3*(1 + x^2)^(3/2))

Integrate[(1 + x^2)^(-5/2), x] ==
(x*(3 + 2*x^2))/(3*(1 + x^2)^(3/2)) 

                2 -5/2
Integrate[(1 + x )    , x] == 

          2
x (3 + 2 x )
-------------
        2 3/2
3 (1 + x )
Time to compute: 0.02 second
Spread the word: