Single Variable Calculus

Session 63: Numerical Integration

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Overview

Sometimes it’s not practical to find the value of a definite integral by using an antiderivative. This session presents three different numerical methods of approximating the value of a definite integral.

Lecture Video and Notes

Video Excerpts

Clip 1: Introduction to Numerical Integration

Clip 2: Riemann Sums

Clip 3: Trapezoidal Rule

Clip 4: Simpson’s Rule

Recitation Video

Explanation of Simpson’s Rule

Using the Trapezoid and Simpson’s Rules

Worked Example

Numerical Integration

• Problem (PDF)
• Solution (PDF)

Please use the mathlet below to complete this problem.

Mathlet

Riemann Sums

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