# Integration applications

Contents
As with derivatives, solve some real world problems and mathematical problems using the power of integral calculus.
6 exercises available

### Area & net change

The area under a rate function gives the net change. This result of the fundamental theorem of calculus is being put here to use with some real-world problems.

### Rectilinear motion

Solve problems about motion along a line using the power of integral calculus. For example, given the velocity of a particle as a function of time v(t), find how much the particle has traveled over a given time period.

### Average value of a function

We usually calculate the average of N terms by summing them up and dividing by N. How do you find the average of infinitely many terms? For example, the average of a function f(x) for all x-values between 0 and 1? Integral calculus to the rescue!