# Documentation

### This is machine translation

Translated by
Mouseover text to see original. Click the button below to return to the English verison of the page.

## If MuPAD Cannot Compute an Integral

MATLAB live scripts support most MuPAD functionality, though there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.

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.

### Approximate Indefinite Integrals

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)`

### Approximate Definite Integrals

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)`