Integral of x*e^(x^2)/(e^(x^2)+1)

[Father20]

Help

How calcule this integral: x*e^x^2/e^x^2 + 1

Please help me.

 

[Mentallic]

How calcule this integral: x*e^x^2/e^x^2 + 1

Please help me.

Let $$u=e^{x^2}+1$$

 

[Father20]

and further? Thank you for your help.

 

[Mentallic]

You need to show some effort. What do you do after making a u-substitution?

 

[Father20]

du= e^x^2 dx normally.

 

[Mentallic]

Not quite.

$$\frac{d}{dx}e^{f(x)}=f'(x)\cdot e^{f(x)}$$

 

[Father20]

But after this, what's then. Sorry for my questions.

 

[Mentallic]

Well first, apply the rule I just showed you. What does du equal?