18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

4. Techniques of Integration

Part A: Trigonometric Powers, Trigonometric Substitution and Completing the Square

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This part of the course describes how to integrate trigonometric functions, and how to use trigonometric functions to calculate otherwise intractable integrals.

» Session 68: Integral of sinⁿ(x) cosᵐ(x), Odd Exponents
» Session 69: Integral of sinⁿ(x) cosᵐ(x), Even Exponents
» Session 70: Preview of Trig Substitution and Polar Coordinates
» Session 71: Integrals Involving secant, cosecant and cotangent
» Session 72: Trig Substitution
» Session 73: Completing the Square
» Problem Set 9

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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