Note: Use only in the MuPAD Notebook Interface. This functionality does not run in MATLAB. |
If the int
command
cannot compute a closed form of an integral, MuPAD^{®} returns an
unresolved integral:
int(sin(sinh(x)), x)
If MuPAD cannot compute an integral of an expression, one of the following reasons may apply:
The antiderivative does not exist in a closed form.
The antiderivative exists, but MuPAD cannot find it.
Try to approximate these integrals by using one of the following methods:
For indefinite integrals, use series expansions. Use this method to approximate an integral around a particular value of the variable.
For definite integrals, use numeric approximations.
If int
cannot
compute an indefinite integral in a closed form, it returns an unresolved
integral:
F := int(cos(x)/sqrt(1 + x^2), x)
To approximate the result around some point, use the series
function. For
example, approximate the integral around x = 0
:
series(F, x = 0)
If you know in advance that the integral cannot be found in
a closed form, skip calculating the symbolic form of the integral.
To use the system more efficiently, call the series
command to expand the integrand,
and then integrate the result:
int(series(cos(x)/sqrt(1 + x^2), x = 0), x)
If int
cannot
compute a definite integral in a closed form, it returns an unresolved
integral:
F := int(cos(x)/sqrt(1 + x^2), x = 0..10)
To approximate the result numerically, use the float
function:
float(F)
If you know in advance that the integral cannot be found in
a closed form, skip calculating the symbolic form of the integral.
Use the system more efficiently by calling the numeric::int
function. This command applies
numeric integration methods from the beginning:
numeric::int(cos(x)/sqrt(1 + x^2), x = 0..10)