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Integration of 1/sin^4x + cos^4x

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Integration of 1/sin^4x + cos^4x

    • Posted by Kanak Yadav 7 years, 8 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Kartik Sharma 7 years, 8 months ago

    Take cos^4x common. It becomes sec^4x which splits into sec^2x & sec^2x.sec^2x is 1+tan^2x.it becomes sec^2x(1+tan^2x)/1+tan^4x. Take tanx=t, sec^2x dx adjusts into dt. Finally it becomes 1+t^2/1+t^4.

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