Session 71: Integrals Involving secant, cosecant and cotangent

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Overview

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

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» Clip 1: Review of Trigonometric Identities (00:05:00)

» Accompanying Notes (PDF)

From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Integral of Tangent (00:02:00)

» Accompanying Notes (PDF)

From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Integral of Secant (00:04:00)

» Accompanying Notes (PDF)

From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 4: Summary of Trig Integration (00:03:00)

» Accompanying Notes (PDF)

From Lecture 28 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Integral of tan4θ

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Worked Example

 

Integral of tan3(x)

 

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