Fundamental Theorem of Calculus – Exercise 2382

Exercise

Given the function

$f(x):R\rightarrow R$

The function is continuous and differential. The following holds

$f(2)=3, f(6)=\frac{1}{2}, f'(2)=5$

Calculate the derivative of the function

$g(x)=\int_0^{x f(x)} f(t)dt$

At the point x=2.

Final Answer

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Solution

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