# Integration applications

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

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.

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.

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!