This worksheet guides the student through the process of using the substitution rule (also known as a u-substitution) to evaluate an integral.
Two of the problems suggest several different substitutions. After choosing one that seems to work, the student is then asked to evaluate an integral using the substitution and to confirm the integration through differentiation.
The other two problems provide the student with the substitution.
Note: One of the integrals involves the inverse tangent function.
This is relevant for both AP Calculus AB and BC.
An answer key is included.