# Fundamental theorem of calculus

Not what you're looking for? Search our solutions OR ask your own Custom question.

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)

Â© BrainMass Inc. brainmass.com December 24, 2021, 6:07 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/fundamental-theorem--calculus-continuous-functions-91957

#### Solution Preview

Please see the attached file.

The 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)

Solution.

As , we have

(a) ...

#### Solution Summary

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

$2.49