Integrals
Indefinite Integrals
compute an indefinite integral
int x^5 dx
integrate x^2 sin^3 x dx
int e^t sin(5t) dt
compute an indefinite integral that cannot be expressed in elementary terms
int e^(-t^2) dt
integrate 1/sqrt(1-u^4)
generate a table of integrals containing a given function
integrals containing cos(u)
Definite Integrals
compute a definite integral
integrate sin x dx from x=0 to pi
int e^(-a t) dt, t=0..a
integrate sin^2(x) + 2 sin^4(2x) from 0 to pi
compute an improper integral
int sinx/x dx, x=0..infinity
int e^(-t^2) dt, t=-infinity to infinity
generate a list of definite integral formulas
definite integrals containing exp(t)
Multiple Integrals
compute a multiple integral
integrate x^2 sin y dx dy, x=0..1, y=0..pi
int (x^2 y^2 + x y^3) dx dy, x=-2 to 2, y=-2 to 2
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
int e^-(x^2+y^2) dx dy, x=-oo to oo, y=-oo to oo
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
5 interval trapezoidal rule integrate sinx cosx on [0,4]
integral (x^2-2)/x dx from 1 to 2 using Boole's rule
Integral Representations
find integral representations for a function