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Math Help - Evaluate the Integral

  1. #1
    Junior Member
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    Evaluate the Integral

    The question says

    Evaluate

    (10x^2) dx/ sqroot 16-x^2

    from 0 to 2 sqroot 3

    I know this is a trig substitution for sin, but I'm having problems working out the trig identities.
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Yes, so if you define x=4\sin u,\,-\frac\pi2<u<\frac\pi2\implies dx=4\cos u\,du.

    And 16-x^2=16-16\sin^2u=16\cos^2u.

    You can do the rest from there.
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