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Evaluateint1/(sin^2xcos^2x)dx....

Evaluate`int1/(sin^2xcos^2x)dx.`

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`intdx/(sin^2xcos^2x)=int(sin^2x+cos^2x)/(sin^2xcos^2x)dx=int((sin^2x)/(sin^2xcos^2x)+(cos^2x)/(sin^2xcos^2x))dxint(sec^2x+cosec^2x)dx=tanx-cotx+C`
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