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Math Help - [SOLVED] Can't figure out integral with sqrt

  1. #1
    Senior Member x3bnm's Avatar
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    [SOLVED] Can't figure out integral with sqrt

    I can't seem to figure out the following integration:

    <br />
\int_0^1 2\sqrt{1+t^2} dt = \left[2\left(\frac{t}{2}\sqrt{1+t^2} + \frac{1}{2}\ln\left(t+\sqrt{1+t^2}\right)\right)\r  ight]_0^1<br />

    How do i reach the right side of equal sign?
    Can anyone kindly tell what method is used for
    the above integration?
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  2. #2
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    I think it's trig substitution. Let t=\tan(\theta)
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  3. #3
    Senior Member x3bnm's Avatar
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    You are absolutely right. How did i miss that? Thanks a lot for help.
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