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Calculas
Unit 1
Indefinite Integration
Introduction to Indefinite Integration
Basic Integration Rules
Integration by Substitution
Integration by Parts
Trigonometric Integrals
Unit 2
Definite Integration
Introduction to Definite Integration
Properties of Definite Integrals
Applications of Definite Integration
Unit 3
Area Under the Curve
Introduction to Area Under the Curve
Definite Integrals and Area Under the Curve
Applications of Area Under the Curve
Unit 3 • Chapter 2
Definite Integrals and Area Under the Curve
Summary
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Concept Check
What is the area under the curve of a definite integral?
Area between the curve and x-axis
Length of the curve
Maximum value of the curve
Average value of the curve
How is a definite integral related to the area under a curve?
Definite integral gives the average value of the curve
Definite integral gives the arc length
Definite integral is the slope of the curve
Definite integral gives the area under the curve
Why is it important to calculate definite integrals for area under curves?
To find the length of the curve
Helps in finding exact areas between curves
To find the maximum value of the curve
To find the average value of the curve
Check Answer
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Introduction to Area Under the Curve
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Applications of Area Under the Curve