Question

Integrate sinx^2.xdx???

Answer 1

In google type :

integration calculator online emathhelp

when you see list of results click on :

Integral Calculator with Steps - eMathHelp

When page be open In rectangle type :

sinx^2.xdx then clic button CALCULATE

You will se solution step - by -step

Answer 2

we know that
cos 2x = 1 - 2sin^2 x
2sin^2 x = 1 - cos 2x
sin^2 x = 1/2 - (1/2)cos(2x)

so integral(sin^2 x)dx
= integral( 1/2 - (1/2)cos(2x) ) dx
= (1/2)x - (1/4)sin(2x) + costant

Answer 3

To make things a bit clearer,

∫sin(x^2) x dx

let
u = x^2
du = 2x dx

and you have
∫1/2 sin(u) du

not so hard, eh?