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![Solution: Simplify, [sinx/(1-cosx)]-[(1+cosx)/sinx]](https://pinoybix.org/wp-content/uploads/2016/06/solution-math-trigonometry08.png "Solution: Simplify, [sinx/(1-cosx)]-[(1+cosx)/sinx]")
Solution: Simplify, [sinx/(1-cosx)]-[(1+cosx)/sinx]
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Prove that displaystyleint^{pi}_0dfrac{xsin x}{(1+sin x )}dx=pileft(dfrac{pi}{2}-1right).
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