Enter the integral
Use * for multiplication, ^ for powers and parentheses: sin(x), exp(x), log(x).
2*x*cos(x^2)1/(x^2-1)exp(-x)Bounds and coordinates
Enter f in x, y, z. Bounds are in the new coordinates; the Jacobian is added automatically.
In dx · dy order, x bounds may depend on y. Changing the order also requires changing the bounds. In spherical coordinates, φ is measured from the z axis.
Methods and scope
Automatic mode uses manual rules when available and additional symbolic algorithms when needed. A missing manual explanation is explicitly identified. Some integrals remain unevaluated or require special functions. Custom substitution supports changes that directly eliminate the original variable; substitutions with multiple inverse branches require additional domain analysis.
You can cancel slow calculations. Supported symbolic parameters are a, b and c. The level changes teaching reminders; the mathematical result is the same.
Learn and explore
Practice saves progress only on this device and provides mistake review, gradual hints and exam mode. Adaptive level changes on Next. Download and restore a progress backup. The 3D viewer connects stages to integration directions and explores slices. Use Print or save PDF to export every step from the browser dialog.
History
Up to 40 recent solutions and 40 favorites, stored on this device and browser. Download and restore a data backup. Clearing browser data or using another device does not automatically retain them.