While evaluating integral by the substitution method, there is no definite rule for proper substitution. We can use some standard substitutions for certain types of integrals such as :

Example 48

Evaluate

Solution :

The radical is in the form

put x = a sin q = 3 sin q \ dx = 3 cosq dq

      

      

Index

6.1 Anti-derivatives (indefinite Integral)
6.2 Integration of Some Trigonometric Functions
6.3 Methods of Integration
6.4 Substitution and change of variables
6.5 Some Standard Substitutions
6.6 Integration by Parts 6.7 Integration by Partial Extractions

Chapter 7