Calculus II

Calculus II delves into advanced integration techniques, series, and applications of calculus to real-world problems.

Techniques of IntegrationSequences and SeriesParametric and Polar Equations
Power Series and Taylor SeriesConvergence TestsApplications of Integration
Engineering and Physics ApplicationsEconomics and Population ModelsMedicine and Biology
Recognizing the Right TechniqueChecking Your Answers
Techniques of Integr...Sequences and SeriesParametric and Polar...Power Series and Tay...Convergence TestsApplications of Inte...Engineering and Phys...Economics and Popula...Medicine and BiologyRecognizing the Righ...Checking Your Answer...
Study Strategies

Recognizing the Right Technique

Choosing Wisely

When faced with a tricky problem, pause and look for clues. Does it involve products? Try integration by parts. Is it a rational function? Maybe partial fractions will help. Practice spotting the right method, and solving integrals will become much easier!

Examples

  • Spotting a trigonometric substitution opportunity in \( \int \frac{1}{\sqrt{1-x^2}} dx \).

  • Choosing partial fractions for \( \int \frac{3x+2}{x^2+x} dx \).

Next
Checking Your Answers