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Calculus
Unit 1
Differentiation
Introduction to Differentiation
Derivative Rules and Formulas
Applications of Differentiation
Derivatives of Trigonometric Functions
Implicit Differentiation
Unit 2
Integration
Introduction to Integration
Techniques of Integration
Applications of Integration
Unit 3
Application of Derivatives
Optimization Problems
Related Rates
Curve Sketching
Unit 2 • Chapter 1
Introduction to Integration
Summary
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Concept Check
What is the fundamental theorem of calculus?
Explains properties of prime numbers
Relates integration and differentiation
Describes limits of functions
States rules for complex numbers
How is integration used in physics?
Studying chemical reactions
Solving linear equations
Measuring temperature gradients
Calculating areas under curves
What is the definite integral of a function?
Calculates accumulated change
Determines maximum value
Finds asymptotes
Tests for convergence
What does the symbol ∫ represent in integration?
Dividing fractions
Summing up infinitesimal parts
Multiplying constants
Finding square roots
Why is integration important in engineering?
Solving sudoku puzzles
Used for modeling and analysis
Measuring angles
Optimizing algorithms
Check Answer
Next
Techniques of Integration