5.5 Integration & Anti-derivatives
Method of Substitution
Question #2 (Medium): Evaluating the Definite Integral
When evaluating the definite integral using the method of substitution, not only is the part of the
function substituted by a simpler variable , but the original interval is also changed to match the
substitution. So that∫ ( ( )) ( ) ∫ ( ) ( ) [ ( ) ] ( ) ( ( )) ( ( ) ).
( ) ( )
Once the change of the interval is made from the start, substituting back in the original variableis not
needed. This is the preferred and easier approach to solving definite integrals.
Evaluate the definite integral using the method of substitution.