Examples for

# Integrals

Integrals come in two varieties: indefinite and definite. Indefinite integrals can be thought of as antiderivatives, and definite integrals give signed area or volume under a curve, surface or solid. Wolfram|Alpha can compute indefinite and definite integrals of one or more variables, and can be used to explore plots, solutions and alternate representations of a wide variety of integrals.

### Indefinite Integrals

Find the antiderivatives of mathematical expressions.

### Multiple Integrals

Calculate definite nested integrals in multiple variables.

### Integrals Related to Special Functions

Find definite or indefinite integrals involving a particular special function.

### Definite Integrals

Find integrals with lower and upper limits, also known as Riemann integrals.

#### Generate a table of definite integral formulas:

Numerical Integration

Integrate expressions using numerical approximation.

More examples

### GO FURTHER

Step-by-Step Solutions for Calculus

Calculus Web App

### RELATED EXAMPLES

• Arc Length
• Area between Curves
• Derivatives
• Integral Transforms
• Special Functions
• Surfaces & Solids of Revolution
• ### Integral Representations

Explore integral representations of various math functions.