Area between a curve and an axis

The Area between a curve and an axis exercise appears under the Integral calculus Math Mission. This exercise shows how to evaluate the antiderivative in respect to the curve and the axis.

Types of Problems
There are two types of problems in this exercise. 1. Find the zeros of the function: The student is asked to find the zeros of the function given the graph and equation.

2. Find the area of the shaded region: The student is asked to find the area of the shaded region on a particular axis or quadrant.

Strategies
Knowledge of Riemann sums and the fundamental theorem of calculus are encouraged to ensure success on this exercise.

1. The area between a curve and an axis is the antiderivative of the upper bound of the function minis the antiderivative of the lower bound of the function.

2. You can find the zeros of a function by using synthetic division.