Integrating with Special Substitutions Part 2
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Meets NCTM Standards:
Lesson Summary:
In this lesson, Karl Weierstrass' method for integrating rational functions with sine and cosines is continued. The focus is on partial fraction decomposition and solving for A and B values. The technique for integrating the rational functions is also discussed, including using natural log integrals and replacing U with tangent of X over 2.
Lesson Description:
The second part of Integrating rational functions with sine and cosines; Karl Weierstrass method.
Created by and copyright of Larry Perez. Funded by the state of California through Saddleback College. More information on videos, resources, and lessons at Algebra2Go.
Questions answered by this video:
- What is partial fraction decomposition?
- How do you integrate a rational trig function?
- What is the Karl Weierstrass method?
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Staff Review
The problem from the first part is finished off in this video. Partial fractions are used in order to integrate the rational trig function. This problem is a rather involved example, but every step is explained and done slowly.
