Posted by **Anonymous** on Wednesday, December 14, 2011 at 9:08pm.

How do I integrate (x^2)(e^(x^3)) dx? I think it is integration by parts but after trying that, I got confused?

- Calculus -
**MathMate**, Wednesday, December 14, 2011 at 11:33pm
When the exponential function is multiplied by a factor which is the derivative of the exponent:

d/dx x^3 = 2x^2, then

the integral is simply the exponential function, with some constants to be adjusted.

If you are not sure, try differentiating

e^(x^3) and you'll get the picture.

It will save you a lot of time, let say if you try to integrate by parts:

x^99 * e^(x^100) !

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