# Examples by Topic

## Integrals

Mathematics
Integrals

### Indefinite Integrals

compute an indefinite integral

#### int e^t sin(5t) dt

compute an indefinite integral that cannot be expressed in elementary terms

#### integrate 1/sqrt(1-u^4)

generate a table of integrals containing a given function

### Definite Integrals

compute a definite integral

#### integrate sin^2(x) + 2 sin^4(2x) from 0 to pi

compute an improper integral

#### int e^(-t^2) dt, t=-infinity to infinity

generate a list of definite integral formulas

### Multiple Integrals

compute a multiple integral

#### int sin^2 x + y sin z dx dy dz , x=0..pi, y=0..1, z=0..pi

compute an integral over an unbounded region

### Numerical Integration »

numerically integrate functions that cannot be integrated symbolically

#### integrate sin(cos x) from x=0 to 1

approximate an integral using a specified numerical method

### Integral Representations

find integral representations for a function