Calculus problems, worked and checked.
11,945 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 rule422
- Power rule313
- Product rule264
- Derivatives of trigonometric functions233
- Derivatives of logarithms219
- Quotient rule119
- u-substitution93
Calculus 2
Techniques of integration, differential equations, series, and parametric and polar curves.
- Integration by parts90
- Separable differential equations70
- First-order linear equations70
- Geometric series70
- Radius of convergence70
- Tangent lines to parametric curves70
- Series convergence tests66
Calculus 3
Vectors, partial derivatives, multiple integrals and vector calculus.
- Dot product and angles70
- Cross product70
- Equation of a plane70
- Gradient and directional derivatives70
- Local extrema and saddle points70
- Lagrange multipliers70
- Triple integrals70
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.