heres the integral

x is between 0 and 2

y is between 0 and 5x

I need to find the exact value of the double integral 5x^2e^(xy)

I'm not really sure how to do this so any help would be greatly appreciated. Thanks in advance.

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- Dec 4th 2009, 03:13 PMryu991help evaluating a double integral
heres the integral

x is between 0 and 2

y is between 0 and 5x

I need to find the exact value of the double integral 5x^2e^(xy)

I'm not really sure how to do this so any help would be greatly appreciated. Thanks in advance. - Dec 4th 2009, 03:16 PMChris L T521
- Dec 4th 2009, 03:34 PMqmech

Get the idea? - Dec 4th 2009, 03:59 PMryu991
Thank you, what I didn't realize was to factor out the 5x^2, I was staring at the whole integral and I had no idea how to approach it I was thinming integration by parts or something but it just did not seem right.

just a few questions about the end?

first where does the 1/2 come from?

second how would I integrate that expression e^(5x^2)d(5x^2)? The other half of it I know, i just have a lot of trouble integrating expressions with e.

thanks again for helping me with this. - Dec 4th 2009, 04:16 PMlvleph
is another way to write u-substitution where .

- Dec 4th 2009, 04:37 PMryu991
- Dec 4th 2009, 04:49 PMlvleph
As long as you meant then yes.

- Dec 4th 2009, 04:50 PMryu991