Integrate 1/sqrt[ (tan(x))^2 + (cot(x))^2 ] w.r.t. x

Do you think this integral is very beautiful ??

Try to solve and leave opinions for this , thank you

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- February 17th 2009, 04:30 AMsimplependulumAn interesting integral
Integrate 1/sqrt[ (tan(x))^2 + (cot(x))^2 ] w.r.t. x

Do you think this integral is very beautiful ??

Try to solve and leave opinions for this , thank you - February 17th 2009, 05:18 AMMush
- February 17th 2009, 08:09 AMKrizalid
The integrand is

Now it suffices to put so that and and you'll get an easy integral to solve. - February 17th 2009, 08:42 AMNacho
Other solution:

If you comeback to initial variable, you obtain the primitive function