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Course: AP??/College Calculus AB?>?Unit 8
Lesson 3: Using accumulation functions and definite integrals in applied contexts- Area under rate function gives the net change
- Interpreting definite integral as net change
- Worked examples: interpreting definite integrals in context
- Interpreting definite integrals in context
- Analyzing problems involving definite integrals
- Analyzing problems involving definite integrals
- Analyzing problems involving definite integrals
- Worked example: problem involving definite integral (algebraic)
- Problems involving definite integrals (algebraic)
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Analyzing problems involving definite integrals
Problem
Consider the following problem:
The water level under a bridge is changing at a rate ofcentimeters per hour (where is the time in hours). At time , the water level is centimeters. By how much does the water level change during the hour?
Which expression can we use to solve the problem?