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A Direct Proof of the Integral Formula for Arctangent

by Arnold J. Insel

This article originally appeared in:
College Mathematics Journal
May, 1989

Subject classification(s): Calculus | Trigonometric Identities | Inverse Trigonometric Functions | Trigonometry | Circles | Plane Geometry | Geometric Proof | Geometry and Topology | Area | Measurement | Numbers and Computation
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis | 4.9 Geometry | 3.2 Mainstream Calculus II

A comparison of areas is used to derive the integral formula of the arctangent

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Capsule Course Topic(s):
One-Variable Calculus | Integration Methods
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