How would you approach this problem?
Edit: here's a link to a pic of the problem: http://i49.tinypic.com/2ex6d1x.png
Evaluating an integral with e
- Thread starter sammai24
- Start date
How would you approach this problem?
Edit: here's a link to a pic of the problem: http://i49.tinypic.com/2ex6d1x.png
- Joined
- Apr 12, 2005
- Messages
- 11,339
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.
\(\displaystyle \int_{0}^{10} f(x)\cdot g`(x)\;dx\;=\;\int_{0}^{10} f(x)\;d(g(x))\;=\;f(x)\cdot g(x)\vert_{0}^{10} - \int_{0}^{10} g(x)\cdot f'(x)\;dx\)
That looks like we're about done.
mmm4444bot
Super Moderator
- Joined
- Oct 6, 2005
- Messages
- 10,962