Area between two curves

The  exercise appears under the Integral calculus Math Mission. This exercise finds the area between two curves.

Types of Problems
There are two types of problems in this exercise:


 * 1) Match the formula with the region: This problem has a diagram and various integrals that represent the areas of different regions. The student is expected to match the appropriate integral with each labeled region.Abtc1.png
 * 2) Find the area between the curves: This problems asks for the area between two curves. The student is expected to find the answer and indicate it as prompted.Abtc2.png

Strategies
Knowledge of area under a curve and other properties of area are encouraged to ensure success on this exercise.
 * 1) Finding the area under the curve (the definite integral) could be viewed as finding the area between a curve and the x-axis (y=0).

Real-life Applications

 * 1) Area formulas for various 2D shapes can be developed by the methods done in this exercise.