## anonymous 4 years ago integral (cosx/((cosx)^3)+(sinx)^0.5))

1. anonymous

is it$\sin x^{\frac{1}{2}}$OR$(sinx)^{\frac{1}{2}}$ because i tried to integrate the first one worked with me, the other one didnt

2. anonymous
3. anonymous

whats that E :O

4. anonymous

(sinx)^1/2

5. anonymous

$\sqrt{sinx}$

6. Mr.Math

Integral of $\sqrt{\sin x}$ can't be expressed in terms of elementary functions.

7. anonymous

so what is suppose to be done with this question?

8. Mr.Math

The first term is very easy. It's nothing but $\int\limits_{}^{}\sec^2x=\tan x.$ As for the second term you can write that it can't be written in terms of the functions you're familiar with. Its integration is just another integration. (Read the definition of the Elliptic Integral in the link above.)

9. anonymous

$\int\frac{\cos{x}}{\cos^3{x}+\sqrt{sin{x}}}dx\quad\mbox{is that problem?}$

10. anonymous

oh that makes sense ^