Calculus: Bounded Areas

Objectives

• Students will practice and discuss applications of finding the area bounded by a curve and the x-axis.
• Students will apply this information to finding the area bounded by two curves.
• Students will try to make a connection with how to understand these topics in both IB Mathematics and AP Calculus and on their final assessments.

Vocabulary

• Riemann Sums         
• Underestimate     
• Overestimate
• Definite Integrals       
• Bounded Areas     
• Concavity

About the Lesson

 This activity is done mainly by hand, but uses the TI-84 family as an aid to the problems.