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This document discusses trigonometric substitutions for integration. It introduces three common substitutions: x = a tan u, x = a sin u, and x = a sec u. These substitutions transform integrals involving a2 + x2, a2 - x2, and x2 - a2 into forms that can be directly evaluated. The substitutions must be reversible to change back to the original variable after integrating. Restrictions on the range of u are discussed to ensure reversibility. Examples of using trigonometric substitutions to evaluate integrals a

Author

Adam George

Language

EN