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Math Help - Integrating complicated square roots without a calculator

  1. #1
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    Integrating complicated square roots without a calculator

    Well, it is complicated for me at least. Im am in calculus three at my university and struggle with the basics of integrals because they seemed to have slipped my mind, even U SUB.

    But how do i integrate Sqrt(4t^2 + 16t^4)?

    Thank you for any help!
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  2. #2
    Senior Member
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    Feb 2010
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    \int \sqrt{4t^2 + 16t^4} = \int 2t\sqrt{1+4t^2} (assuming t>0). Now let u=4t^2.
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