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Math Help - Fundamental Theorem of Calculus

  1. #1
    Junior Member
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    Fundamental Theorem of Calculus

    can you guys help me with this:

    Use FTC to find the derivative of h(u) = \int^{2u}_{0} cos^5t\,dt, justifying your reasoning.

    would this be correct:
    \frac{d}{du}\int^{2u}_{0} cos^5t\,dt n=2u
    (\frac{d}{dn} \int^{n}_{0} cos^5t\,dt)*(\frac{dn}{du})
    (cos^5(n))*\frac{dn}{du})
    cos^5(2u)*\frac{d(2u)}{du}
    2cos^5(2u)

    any truth to this?
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    yes that is correct.
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