YOU WILL LEARN ABOUT:
The second part of the Fundamental Theorem of Calculus and the remarkable relationship between integration and differentiation.
The Fundamental Theorem of Calculus has far-reaching applications, making sense of reality from physics to finance. The second part gives us a way to compute integrals.
When downloading a file, the number of bytes downloaded can be found by integrating the function describing the download speed as a function of time using the second part of the Fundamental Theorem of Calculus.
To find how much money a product or service brought in during a particular time frame, a company can integrate the marginal revenue over that time. The second part of the Fundamental Theorem of Calculus allows us to perform this integration.
Physicists use integration — made possible by the second part of the Fundamental Theorem of Calculus — to measure a variety of quantities, such as energy, work, inertia, and electric flux.