18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

3. The Definite Integral and its Applications

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Introduction

The derivative tells us the rate of change of a function whose values we know. The definite integral tells us the value of a function whose rate of change and initial conditions are known.

Part A: Definition of the Definite Integral and First Fundamental Theorem

Part B: Second Fundamental Theorem, Areas, Volumes

Part C: Average Value, Probability and Numerical Integration

Exam 3

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