Trigonometric Substitution: Method, Formula and Solved Examples

Trigonometric Substitution is one of the substitution methods of integration where a function or expression in the given integral is substituted with trigonometric functions such as sin, cos, tan, etc. Integration by substitution is the easiest substitution method.

It is used when we make a substitution of a function, whose derivative is already included in the given integral function. By this, the function gets simplified, and a simple integrals function is obtained which we can integrate easily. It is also known as u-substitution or the reverse chain rule. In other words, using this method, we can easily evaluate integrals and antiderivatives.