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

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0is 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

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

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

Mr.Math
 4 years ago
Best ResponseYou've already chosen the best response.0The 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.)

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh that makes sense ^
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