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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: how to find the integral of (secx)^2.(cosecx)^2
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srilu143 (0)

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how to find the integral of (secx)^2.(cosecx)^2
    
ultimator (401)

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Note. I have left out dx in every integral. Too bored to type



=



=



= tanx - cotx + c

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sboosy (3065)

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\int \csc^2x \sec^2x \,dx \\ \\ = \int \csc^2x d(\tan(x)) \\ \\ = (\csc^2x)(\tan(x)) + 2 \int csc^2x \,dx \\ \\ = (\csc^2x)(\tan(x)) - 2\cot(x) +c<br/>


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