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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


g'(2)=6\frac{1}{2}

Solution

Coming soon…

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