[Step-by-Step] Go with f(x)= sin (2 x) Give a clean formula for the function h(x) defined by h(x)=∫_0^x f(s) d s How are f(x) and (d)/(dx) h(x) related?
Question: Go with
\[f(x)=\sin (2 x)\]Give a clean formula for the function \(\mathrm{h}(\mathrm{x})\) defined by
\[h(x)=\int_{0}^{x} f(s) d s\]How are \(\mathrm{f}(\mathrm{x})\) and \(\frac{\mathrm{d}}{\mathrm{dx}} \mathrm{h}(\mathrm{x})\) related?
Is the outcome an accident? Why or why not?
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