18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

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

Session 71: Integrals Involving secant, cosecant and cotangent

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We conclude the discussion of integrating trig functions by reviewing the derivatives of tangent and secant, then finding antiderivatives for these functions and for cosecant.

Lecture Video and Notes

Video Excerpts

Clip 1: Review of Trigonometric Identities

Clip 2: Integral of Tangent

Clip 3: Integral of Secant

Clip 4: Summary of Trig Integration

Recitation Video

Integral of tan4θ

Worked Example

Integral of tan3(x)

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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