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An indefinite Integral Problem with algebric numerator and trigonometric...

$ $ \int \frac{x^2+(n(n-1))}{(xsinx +ncosx )^2 } dx$ $ I know this is an homework problem, but I really couldn’t think of any way to solve it. Like DI Method (No go) , What kind of substitution as...

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Canceling factors from numerator and denominator with complex number

I have the following expression: $ \text{expr} = i \frac{\sqrt{a-b}}{\sqrt{b-a}}x$ . Clearly simplifying expression gives $ \text{expr}=x$ by cancelling the numerator and denominator. However, I am...

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