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)

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