Course
Calculus II — Practice Problems with Worked Solutions
Integration, infinite series, and parametric models. 209 problems across 13 skills, each solved step by step and verified by a computer algebra system.
- 209
- problems
- 13
- skills
- 4
- units
- 15
- formulas
Techniques of Integration
- Integration by PartsReverse the product rule with a strategic u and dv.16 worked problems
- Trigonometric IntegralsPower identities turn trig products into integrable forms.16 worked problems
- Partial FractionsSplit rational functions into simpler logarithmic pieces.16 worked problems
- Improper IntegralsInfinite bounds become limits; convergence decides the result.16 worked problems
Sequences & Series
- Sequence LimitsTrack what a_n approaches as n grows without bound.16 worked problems
- Geometric SeriesA stable ratio unlocks a closed-form infinite sum.16 worked problems
- p-SeriesThe threshold p=1 separates convergence from divergence.17 worked problems
- Convergence TestsChoose comparison, ratio, or the nth-term test with intent.16 worked problems