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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 2 • Chapter 1
Introduction to Definite Integration
Summary
Concept Check
What is the formula for definite integration?
product of f(x) from a to b
average of f(x) from a to b
sum of all f(x) from a to b
integral from a to b of f(x) dx
What is the purpose of definite integration?
Calculating slope of tangents
Estimating limits of functions
Solving differential equations
Finding area under curve
How is the definite integral represented symbolically?
∆
√
Σ
∫
What does the definite integral measure?
Accumulated quantity over an interval
Maximum value of a function
Instantaneous rate of change
Average value of a function
What is the key difference between definite and indefinite integration?
Definite has specified bounds
Indefinite has constant term
Definite gives exact value
Indefinite solves derivatives
Check Answer
Next
Properties of Definite Integrals