Trigonometric Substitution

Definition

Trigonometric substitution is a technique used in calculus to simplify integrals involving radical expressions or quadratic forms. It involves substituting trigonometric functions for variables in order to transform the integral into a more manageable form.

Related terms

Power Rule:

The power rule is a basic rule of differentiation that states if you have a function raised to a constant power, you can bring down the exponent as the coefficient and reduce the power by 1.

Quotient Rule for Integration: The quotient rule for integration is used when integrating fractions. It allows us to split an integral of a fraction into two separate integrals, making it easier to evaluate each part individually.

Chain Rule:

The chain rule is another fundamental rule of differentiation that allows us to find the derivative of composite functions. It helps us unravel complex functions by breaking them down into simpler pieces and differentiating each part separately.