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Math Help - Trigonometric substitution and Integrals

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    Trigonometric substitution and Integrals

    I'm having a really hard time integrating:


    ∫ (e^(t))⋅(1+e^(2t))^(1/2)

    I'm supposed to use Trig substitution to solve this and I'm not sure where to go from here.
    Could someone please explain the steps?
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  2. #2
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    Re: Trigonometric substitution and Integrals

    Quote Originally Posted by Preston019 View Post
    I'm having a really hard time integrating:


    ∫ (e^(t))⋅(1+e^(2t))^(1/2)

    I'm supposed to use Trig substitution to solve this and I'm not sure where to go from here.
    Could someone please explain the steps?
    try the substitution ...

    e^t = \tan{u}
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