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Integral of sin inverse( 2tanx/1+tan sq.x)

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Integral of sin inverse( 2tanx/1+tan sq.x)

    • Posted by Anand Ranwan 8 years, 3 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Naveen Sharma 8 years, 3 months ago

    {tex}\int sin^{-1}({2tan x\over 1+tan^2x})dx{/tex}

    {tex}= \int sin^{-1}(sin\ 2x)dx{/tex}
    {tex}= \int 2x \ dx = {2x^2\over 2}+C = x^2 + C{/tex}

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