Hi please help to solve this integral .

$\displaystyle

\int\sqrt{1+cos^2x}dx

$

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- Jun 2nd 2010, 05:21 AMparkhidIntegral of sqrt(1 + (cosx) ^ 2) ?
Hi please help to solve this integral .

$\displaystyle

\int\sqrt{1+cos^2x}dx

$ - Jun 2nd 2010, 05:29 AMmr fantastic
integrate Sqrt[1 + (Cos[x])^2] - Wolfram|Alpha

Where has the integral come from? - Jun 2nd 2010, 05:36 AMparkhid
The main question intend is to calculate the length of arc which

will create by F(x) = Sin(X) from 0 to pi .

so, we should calculate this : $\displaystyle \int\sqrt{1+y'^2}dx$

and if we put cosx instead of y' we have the above integral.

$\displaystyle \int\sqrt{1+cos^2x}dx$

Iam very (Nerd) Now . what is ellipitic integral ?????? - Jun 2nd 2010, 05:38 AMmr fantastic
- Jun 2nd 2010, 05:43 AMparkhid
Is There any other way to solve ?

- Jun 2nd 2010, 06:04 AMKrizalid
it's been asnwered before.