### The Maxima on-line user's manual

Algebra Calculator

#### Defint

Function: defint (<expr>, <x>, <a>, <b>) Attempts to compute a definite integral. defint is called by integrate when limits of integration are specified, i.e., when integrate is called as integrate (<expr>, <x>, <a>, <b>). Thus from the users point of view, it is sufficient to call integrate.

defint returns a symbolic expression, either the computed integral or the noun form of the integral. See quad_qag and related functions for numerical approximation of definite integrals.

There are also some inexact matches for defint. Try ?? defint to see them.

(%o1)                                true
(%i2)

### Related Examples

##### defint-numer-sqrt

numer: on;

f(n, k) := 1/sqrt(2*%...

defint(f(10, k), k, 4...

Calculate

##### defint-false-listdummyvars-listofvars

listdummyvars: false;

listofvars (defint(z^...

defint(z^2, z, 0, r);

Calculate

##### defint

a1 : defint( 9.75 - 2...

a2 : defint(15.75 - 2...

a3 : defint(15.75 - 4...

Calculate

##### defint

a1 : defint( 9.75 - 2...

a2 : defint(15.75 - 2...

a3 : defint(15.75 - 4...

Calculate

##### defint-exp-pi-sqrt

f(x):=1/(5*sqrt(2*%pi...

defint(f(x),x,1,3);

Calculate

##### defint-exp-integrate-ldefint-minf-sin

ldefint(1/exp(2*x),x,...

integrate(sin(x)*sin(...

1/exp(2*x);

Calculate

##### defint

eq1 = (beta/r)*(4*pi*...

defint(eq1,r,0,.05);

Calculate

##### defint

a1 : defint( 9.75 - 2...

a2 : defint(15.75 - 2...

a3 : defint(15.75 - 4...

Calculate

##### defint-sin

eq1:f=sin(x);

defint(eq1,x,a,b);

Calculate

##### defint

a1 : defint( 9.75 - 2...

a2 : defint(15.75 - 2...

a3 : defint(15.75 - 4...

Calculate