Prove that d dx vx ux ft dt fvxvx fuxux

Chapter 4, Problem 112

(choose chapter or problem)

Prove that \(\frac{d}{d x}\lfloor\int_{u(x)}^{v(x)} f(t) d t]=f(v(x)) v^{\prime}(x)-f(u(x)) u^{\prime}(x)\)

Text Transcription:

\frac{d}{d x}\lfloor\int_{u(x)}^{v(x)} f(t) d t]=f(v(x)) v^{\prime}(x)-f(u(x)) u^{\prime}(x)

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