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Math Help - [SOLVED] Integration by Substitution 2

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    [SOLVED] Integration by Substitution 2

    Integrate

    cos(x) / (sin(x)sqrtof(sin^2(x)+1))dx
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by vinson24 View Post
    Integrate

    cos(x) / (sin(x)sqrtof(sin^2(x)+1))dx
    do a substitution. let u^2 = \sin^2 x + 1, then your integral becomes \int \frac 1{u^2 - 1}~du .........do you see how to get to this?

    (Note that the substitution is u^{\color{red}2} and not just u)

    now, i suppose you can finish up
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    yes thank you much
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  4. #4
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    Another approach: put u=\csc x+\sqrt{\csc^2 x+1}.
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