In this video I show how you can solve the integral of a function by simply summing up the area under the curve by calculating the area of a circle or a triangle if those functions happen to be in those shapes. This saves a lot of time and greatly simplifies calculating integrals.

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Evaluating Integrals - Examples Part 2 - Interpreting as Areas

Example 1

Evaluate the following integrals by interpreting each in terms of areas.

Solution to part a):

Solution to part b):