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[Post New]15 Apr 2008 22:57:37 IST
    Subject: Re:fghgjh
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sboosy (3063)

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Olaaa!! Perrrfect answer. 539  [723 rates]
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\int cosec^4x \,dx \\ \\ = \int cosec^2x cosec^2x\,dx \\ \\ = \int (1+\cot^2x)cosec^2x\,dx \\ \\ = \int cosec^2x \,dx + \int \cot^2xcosec^2x\,dx \\ \\ = -\cot(x) - \frac{\cot^3x}{3}+c \\ \\ \\ \int \frac{\sin(2x)}{\sin(5x)\sin(3x)}\,dx \\ \\ = \int \frac{\sin(5x-3x)}{\sin(5x)\sin(3x)}\,dx \\ \\ = \int \cot(3x)\,dx - \int \cot(5x)\,dx \\ \\ = \frac{1}{3} \log(|\sin(3x)|) - \frac{1}{5} \log(|\sin(5x)|)+c
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