textbook-theory · English
Difference Equations to Differential Equations — Section 6.6: Trigonometric Substitutions
Section 6.6 of Dan Sloughter's open calculus textbook presents trigonometric substitution as a systematic method for evaluating integrals containing radicals of the form sqrt(a^2 - x^2), sqrt(a^2 + x^2), and sqrt(x^2 - a^2). The section covers sine, tangent, and secant substitutions with worked examples, geometric interpretations via right-triangle diagrams, and a set of practice problems including both indefinite and definite integrals.
trigonometric substitutionintegral calculussine substitutiontangent substitution