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Integral Calculus2D

Techniques of Integration - Theory & Concepts - Trig Substitution

Mastering methods for evaluating complex integrals: u-substitution, integration by parts, trigonometric integrals, and partial fractions.

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Trigonometric Substitutions

Visualizing the right triangle geometry

Reference Triangle

θ
aa
xx
a2−x2\sqrt{a^2 - x^2}
Target Radical:
a2−x2\sqrt{a^2 - x^2}
Let x=asin⁡θ\text{Let } x = a \sin \theta

Radical Simplification

Click "Next Step" to simplify the radical algebraically.

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