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Sarah.LBest ResponseYou've already chosen the best response.0
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 years ago

Mr.MathBest ResponseYou've already chosen the best response.0
Integral of \[\sqrt{\sin x}\] can't be expressed in terms of elementary functions.
 2 years ago

nubeerBest ResponseYou've already chosen the best response.0
so what is suppose to be done with this question?
 2 years ago

Mr.MathBest ResponseYou've already chosen the best response.0
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.)
 2 years ago

nikvistBest ResponseYou've already chosen the best response.0
\[\int\frac{\cos{x}}{\cos^3{x}+\sqrt{sin{x}}}dx\quad\mbox{is that problem?}\]
 2 years ago
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