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
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How would you approach this problem?
Edit: here's a link to a pic of the problem: http://i49.tinypic.com/2ex6d1x.png
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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.
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