Find a function f such that f(1) = 0 and f'(x) = 2^(x) / x

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- May 8th 2010, 01:15 PMTsAmEFinding function (integration)
Find a function f such that f(1) = 0 and f'(x) = 2^(x) / x

- May 8th 2010, 02:49 PMmr fantastic
- May 8th 2010, 03:46 PMskeeter
- May 9th 2010, 02:27 AMTsAmE
Arent you suppose to find the anti-derivative of f'(x) = 2^(x) / x?

- May 9th 2010, 02:52 AMmr fantastic
- May 10th 2010, 12:02 PMTsAmE
- May 10th 2010, 01:07 PMGeneral
**Mr F did not use any method ..**

**He get the answer by using the FTC ..**

**The problem here is that $\displaystyle \int \frac{2^x}{x} \, dx$ is unelementary integral ..**

**What ever you do, you can not evaluate it in terms of elementary functions ..**