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April 12th, 2015, 06:02 PM   #1
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Derivative of integral with variables as limits of integration? Fundamental theorem o

I need to find the derivative of the integral of a function as shown in the picture. But the limits of integration are variables and I don't know how to go about solving this. Please help me! Any guidance is greatly appreciated. Thank you in advance.

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April 12th, 2015, 06:39 PM   #2
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let $u$ and $v$ be functions of $x$ ...

$\displaystyle \frac{d}{dx} \int_u^v f(j) \, dj = f(v) \cdot v' - f(u) \cdot u'$
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