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$$\int \frac{(sin^22x)}{(4(1+3cos^2(x)))}dx$$

And according to wolframalpha (I wasn't able to integrate this by myself) this integral is equal to

$$\frac{5 x}{18} + \frac{(2 arctan(2 cot(x)))}{9} - \frac{sin(2 x)}{12}$$

The above integral is the integral of a power function with respect to time.

And I wanted to evaluate this between [0,60]; but the problem is when evaluating the cot(x) at 0 this give me infinity which make the fraction in the middle ∏/9. But according to the physics of the equation there should not be any energy generated at time = 0 as nothing is happening at time 0. so what is going on??

Thanks!

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# Integral of a function gives me acrtan(2cot(x)). How to evaluate this?

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