# indefinite integral

• Mar 1st 2010, 07:55 AM
av8or91
indefinite integral
xe^x2

Cant figure out how to do this.
• Mar 1st 2010, 07:59 AM
General
Quote:

Originally Posted by av8or91
xe^x2

Cant figure out how to do this.

Its
$\int x e^{x^2} dx$
or
$\int x (e^x)^2 dx$
or
$\int x e^{x2} dx$
or
$\int x e^x \, 2 \, dx$

??

• Mar 1st 2010, 08:29 AM
av8or91
Quote:

Originally Posted by General
Its
$\int x e^{x^2} dx$

It is this one...Sorry(Worried) I know i need to use substitution but cant figure out the rest.
• Mar 1st 2010, 10:16 AM
tom@ballooncalculus
Just in case a picture helps...

http://www.ballooncalculus.org/asy/intChain/e.png

... where

http://www.ballooncalculus.org/asy/chain.png

... is the chain rule. Straight continuous lines differentiate downwards (integrate up) with respect to x, and the straight dashed line similarly but with respect to the dashed balloon expression (the inner function of the composite which is subject to the chain rule).

The general drift is...

http://www.ballooncalculus.org/asy/maps/intChain.png

And the rest...

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