Leibniz Rule for Variable Upper Limit

Rarely Tested

Leibniz Rule for Variable Upper Limit

If:

$$F(x)=\int_a^{g(x)}f(t)\,dt$$

then:

$$F'(x)=f(g(x))g'(x)$$

Usage

- Used when the upper limit of an integral is itself a function of $$x$$.

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