*Last updated: 2023-03-16.*
# tf_quant_finance.math.integration.integrate
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Evaluates definite integral.
```python
tf_quant_finance.math.integration.integrate(
func, lower, upper, method=tf_quant_finance.math.integration.IntegrationMethod.C
OMPOSITE_SIMPSONS_RULE, dtype=None, name=None, **kwargs
)
```
#### Example
```python
f = lambda x: x*x
a = tf.constant(0.0)
b = tf.constant(3.0)
integrate(f, a, b) # 9.0
```
#### Args:
* `func`: Represents a function to be integrated. It must be a callable of a
single `Tensor` parameter and return a `Tensor` of the same shape and
dtype as its input. It will be called with a `Tesnor` of shape
`lower.shape + [n]` (where n is integer number of points) and of the same
`dtype` as `lower`.
* `lower`: Represents the lower limits of integration. `func` will be integrated
between each pair of points defined by `lower` and `upper`.
* `upper`: Same shape and dtype as `lower` representing the upper limits of
intergation.
* `method`: Integration method. Instance of IntegrationMethod enum. Default is
IntegrationMethod.COMPOSITE_SIMPSONS_RULE.
* `dtype`: Dtype of result. Must be real dtype. Defaults to dtype of `lower`.
* `name`: The name to give to the ops created by this function.
Default value: None which maps to 'integrate'.
* `**kwargs`: Additional parameters for specific integration method.
#### Returns:
`Tensor` of the same shape and dtype as `lower`, containing the value of the
definite integral.
Raises: ValueError if `method` was not recognized.