Inside Our Calculus Courseware: Trigonometric Substitutions

The word “Trigonometric” by itself scares students. Combining it with “Substitutions and Evaluation” is downright terrifying. After all, the student must select the appropriate substitution, transform the integrand from an algebraic to a trigonometric expression, make the appropriate change in limits of integration (or rewrite their antiderivative in terms of the original variable), and finally … Continue reading Inside Our Calculus Courseware: Trigonometric Substitutions

Inside Our Calculus Courseware: Integration by Parts

The integration by parts method is not straightforward. It requires some thought, and the student must make two initial choices. Successfully working the exercises demands these choices be wise ones. And it may be necessary to repeat the process. Students often think they’ve failed if one application doesn’t yield the solution. Sample Problem #1 Below … Continue reading Inside Our Calculus Courseware: Integration by Parts