# Fundamental theorem of calculus

Let G(x) = Int(0..x, (Int(0..s, f(t)dt)) , ds), where f is continuous for all real t. Find

a) G(0) b) G'(0) c) G''(x) d) G''(0)

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The Fundamental Theorem of Calculus

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Let G(x) = Int(0..x, (Int(0..s, f(t)dt)) , ds), where f is continuous for all real t. Find

a) G(0) b) G'(0) c) G''(x) d) G''(0)

Solution.

As , we have

(a) ...

#### Solution Summary

This provides an example of solving a problem with the fundamental theorem of calculus.

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