18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part C: Average Value, Probability and Numerical Integration

Session 63: Numerical Integration

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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

Please use the mathlet below to complete this problem.


Riemann Sums

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos