Calculus problems, worked and checked.
1,838 original problems from Calculus 1 to 3, each with a step-by-step solution. Every line of every solution is checked by a computer algebra system, and each page shows you exactly what checked it.
Calculus 1
Limits, derivatives and their applications, and the first steps of integration.
- Chain rule297
- Derivatives of trigonometric functions76
- Product rule61
- Power rule57
- Quotient rule53
- Derivatives of exponential functions52
- Derivatives of logarithms50
Calculus 2
Techniques of integration, differential equations, series, and parametric and polar curves.
- Separable differential equations30
- First-order linear equations30
- Geometric series30
- Series convergence tests30
- Radius of convergence30
- Taylor and Maclaurin polynomials30
- Tangent lines to parametric curves30
Calculus 3
Vectors, partial derivatives, multiple integrals and vector calculus.
- Dot product and angles30
- Cross product30
- Equation of a plane30
- Gradient and directional derivatives30
- Local extrema and saddle points30
- Lagrange multipliers30
- Double integrals over rectangles30
Why you can trust a solution here
Every line is checked
A computer algebra system confirms that each line of a solution follows from the one before. Lines it can't prove are labeled for what they are.
The answer is checked twice
Separately from the solution, the answer is confirmed a second way: differentiating back, numerical integration, substituting into the equation.
Nothing is hidden
Each problem has a receipt: what checked every line, which reviewers read it, and anything they objected to. How it works →
Today’s beautiful problem
A messy start that collapses to something small. Try it before you look.