Question

Calculate the area of the region bounded by curves.

A) Bounded Region Area Calculator
B) Curve Enclosed Area Finder
C) Region Between Curves Tool
D) Area Boundaries Calculator

Answer 1

To calculate the area of the region bounded by curves, find the points of intersection of the curves and then calculate the area between those points by integrating the difference between the two curves' equations over the interval between the points of intersection.

Step-by-step explanation:

To calculate the area of the region bounded by curves, we need to find the points of intersection of the curves and then calculate the area between those points. Here are the steps to do that:

1. Find the points of intersection of the curves by setting their equations equal to each other.
2. Integrate the difference between the two curves' equations over the interval between the points of intersection.
3. Take the absolute value of the result to get the area.

For example, if we have two curves y = x^2 and y = -x^2, we can find the points of intersection by setting x^2 = -x^2, which gives us x = 0. To find the area between the curves, we integrate the difference between the two equations from x = -1 to x = 1 and take the absolute value of the result.