Thursday, 2 July 2015

calculus - Evaluate the integral $intfrac{1}{2+3sin x},text{d}x$.

Please evaluate the integral,



$$\int \frac{1}{2+3\sin x}\,\text{d}x.$$



What I have tried is to substitute $\sin x = \sqrt{1-x^x}$ but I was stuck in a maze. Also, I did look a the wolfram solution. Can anyone propose a different solution from Wolfram, perhaps simpler with a bit of explanation?

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