Question

What is the integral of: (1+(cosx)^2)^0.5

Answer 1

\[\int \sqrt{1+\cos^2 x} \ \text{d}x\]???

Answer 2

if yes there is no closed form for that integral in terms of elementary functions

Answer 3

yes thats it

Answer 4

between 0 and pi

Answer 5

Elliptic integrals
http://www.wolframalpha.com/input/?i=integrate+sqrt%281%2B%28cos%28x%29%29%5E2%29+from+0+to+pi