For Calculus II · University, first year
Calculus II practice questions and exam prep
Integral calculus as first-year university courses teach it: the definite integral, areas and volumes, integration techniques, numerical integration, improper integrals, applications, differential equations, sequences and series, power and Taylor series, and parametric and polar curves. Short lessons, then practice until it sticks.
- Made for first-year Calculus II
- Worked solution for every question
- Free during the launch promotion
Unlimited
practice questions
187
lesson cards
11
units
66
skills
Popular Calculus II practice topics
- Integration by parts
- Trigonometric substitution
- Partial fractions
- Volumes of revolution
- Integrals over infinite intervals
- Comparison tests
- Taylor series
What's covered
Every Calculus II unit, topic by topic
Your course skips a topic? Take it out of your practice, or add it back any time.
1The definite integral and the Fundamental Theorem
6 lessons- Sigma notation and Riemann sums2 skills · 5 lesson cards
- The definite integral1 skills · 5 lesson cards
- Properties of the definite integral1 skills · 4 lesson cards
- The Fundamental Theorem of Calculus2 skills · 5 lesson cards
- Substitution1 skills · 4 lesson cards
- Substitution in definite integrals1 skills · 3 lesson cards
2Area, volume and average value
4 lessons- Area between curves2 skills · 5 lesson cards
- Volumes by slicing1 skills · 4 lesson cards
- Volumes of revolution2 skills · 5 lesson cards
- Average value1 skills · 5 lesson cards
3Integration techniques
6 lessons- Integration by parts1 skills · 4 lesson cards
- Repeated integration by parts1 skills · 3 lesson cards
- Trigonometric integrals2 skills · 5 lesson cards
- Trigonometric substitution1 skills · 5 lesson cards
- Partial fractions2 skills · 5 lesson cards
- Strategy for integration1 skills · 3 lesson cards
4Numerical integration
3 lessons- The midpoint and trapezoid rules1 skills · 5 lesson cards
- Simpson's rule1 skills · 5 lesson cards
- Error bounds1 skills · 5 lesson cards
5Improper integrals
3 lessons- Integrals over infinite intervals1 skills · 5 lesson cards
- Integrands that blow up1 skills · 5 lesson cards
- Deciding convergence2 skills · 5 lesson cards
6More applications of integration
3 lessons- Arc length and surface area2 skills · 5 lesson cards
- Work and hydrostatic force2 skills · 5 lesson cards
- Centers of mass1 skills · 5 lesson cards
7Differential equations
3 lessons- Separable equations and models2 skills · 5 lesson cards
- Logistic growth and mixing2 skills · 5 lesson cards
- Linear equations1 skills · 4 lesson cards
8Sequences
2 lessons- Limits of sequences2 skills · 5 lesson cards
- Monotone and recursive sequences2 skills · 5 lesson cards
9Series and convergence tests
5 lessons- Series with a sum2 skills · 5 lesson cards
- The divergence and integral tests2 skills · 5 lesson cards
- Comparison tests1 skills · 4 lesson cards
- Alternating series2 skills · 4 lesson cards
- The ratio and root tests, and strategy2 skills · 5 lesson cards
10Power and Taylor series
2 lessons- Power series3 skills · 5 lesson cards
- Taylor series3 skills · 5 lesson cards
11Parametric equations and polar coordinates
3 lessons- Parametric equations3 skills · 5 lesson cards
- Polar coordinates and graphs2 skills · 5 lesson cards
- Calculus in polar coordinates3 skills · 5 lesson cards
How you'll practice
Tools built for calculus
Exact answers, graphs and worked solutions — the kinds of thinking unit tests and finals reward.
Practice by topic
Read a short lesson, then practice with typed math answers, a hint ladder and a worked solution after every question.
Graph questions
Drag points onto a parabola, shade where an inequality holds, mark intercepts and asymptotes — marked on the spot.
Progress tracking
Mastery by skill and unit, weak spots and recommended Daily practice, so you know what's actually solid.
My mistakes
Go over what you missed and try fresh questions on the same idea.
Unit tests and mock exams
Timed unit tests, a mock midterm and a mock final in the familiar format, with a breakdown by unit and skill.
Find the mistake
0 worked solutions with one planted error: find the line that goes wrong and see why.
Free for every Learn4Less account during our launch promotion. See pricing
Fits your term
How it follows Calculus II
- 01
Week by week
Read the lesson, then practice topic by topic. Mark the units your course has covered and Daily practice stays on them.
- 02
Before a midterm
Take a timed unit test or the mock midterm, marked with full worked solutions and a breakdown by skill.
- 03
Final exam
A mock final across every unit in your course, plus Rescue for your weakest topic and your mistakes to retry.
Questions
Calculus II FAQ
Do I need a new account?+
No. Sign in with your Learn4Less account — the same one you use on learn4less.ca.
Does it follow my course?+
It follows the most common first-year syllabus, unit by unit. Take out any unit, topic or skill your course doesn't cover, and add back anything it does.
How is my typed answer marked?+
Instantly, by a math engine that accepts every equivalent form, so you can write an answer the way you would on paper. A worked solution follows every question.
Start your Calculus II practice today
Pick a topic and answer your first question in under five minutes.
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