integral x^3/ (x^2 +1)^1/2

Answer 1

In google type:

integral calculator with steps

When you see list of results click on:

Integral Calculator with Steps - eMathHelp

When page be open in rectangle:

Enter a function

type:

x^3/(x^2+1)^(1/2)

Remark:
You must type function exactly in this form with brackets at (1/2)

then click option:

Calculate

You will see solution step by step

Answer 2

let sqrt(x^2 + 1) = t
differentiating w.r.t x
then

x.dx / sqrt(x^2 + 1) = dt

substitution give

int(t^2 - 1)dt

= t^3/3 - t

= [(x^2 + 1)^3/2 ]/ 3 - (x^2 +1)^1/2