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Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 to x-5 of square root of Sin(t)dt.
Please help.

  • Math -

    I'm sorry, but the integrand
    "2x^2 to x-5 of square root of Sin(t)dt."

    does not make sense.

    In general, the derivative of an indefinite integral of a function is the function itself.

  • Math -

    Ok, so if I change it to 2x^2 to x-5 of square root of Sin(x)dx, does it make sense?
    We haven't done any examples with an x in both the top and bottom of the integral sign.

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