Differentiate the following integral with respect to x: \begin{equation*} \int_{10x}^{x^2} t^3 (1 + \sin t) dt \end{equation*}
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According to the Fundamental Theorem of Calculus, if F(x) is an antiderivative of f(x), then the derivative of the integral from a to x of f(t) dt is equal to f(x). In this case, the integral is with respect to t, not x. So, we need to rewrite the equation in Show more…
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