Free Online Integral Calculator

Solve Any Integral with Detailed Steps.

From basic antiderivatives to complex definite integrals, our calculator shows the full solution process.

Select Interaction Mode

2

Master the Art of Integration

Find Antiderivatives

Solve any indefinite integral to find the family of functions whose derivative is the given function, including the constant of integration "+ C".

Calculate Area Under a Curve

Evaluate definite integrals to find the exact area bounded by a function and the x-axis between two points.

Learn Advanced Techniques

See detailed, step-by-step applications of advanced methods like u-substitution, integration by parts, and trigonometric substitution.

Integral Calculator: Frequently Asked Questions

Can it calculate the area between two curves?

Yes. You can ask for the "area between $y=x^2$ and $y=x$" and it will set up and solve the correct definite integral.

Does it handle improper integrals?

Absolutely. It can evaluate integrals with infinite limits of integration, showing the proper limit notation and solution.

Can it find the volume of a solid of revolution?

Yes, you can describe the function and the axis of rotation, and our AI can help you set up the integral using the disk, washer, or shell method.