Single Variable Calculus

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

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)

• Problem (PDF)
• Solution (PDF)

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