Evaluating an integral with e

[sammai24]

How would you approach this problem?

Edit: here's a link to a pic of the problem: http://i49.tinypic.com/2ex6d1x.png

 

[tkhunny]

No need for a picture. It screams Integration by Parts.

$\displaystyle \int_{0}^{10} f(x)\cdot g`(x)\;dx\;=\;\int_{0}^{10} f(x)\;d(g(x))\;=\;f(x)\cdot g(x)\vert_{0}^{10} - \int_{0}^{10} g(x)\cdot f'(x)\;dx$

That looks like we're about done.

 

[mmm4444bot]

Classmates?