$\displaystyle \int
Pure trigonometric functions: find the fundamental frequency. Here everything is converted to x/2, then transformed into an integral of a rational function. This follows a fixed routine.
So we take t = \\tan{\\left(\\dfrac{x}{2}\\right)}, right?
There are many tutorials on searching for Weierstrass substitution.
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For example https://math24.net/weierstrass-substitution.html
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Thank you very much