defint
Evaluates a definite integral over an interval.
Nerdamer uses symbolic integration when available and can use numerical evaluation for supported numeric bounds. Symbols that are independent of the integration variable are treated as constants.
Supplying the integration variable explicitly avoids ambiguity in expressions containing more than one symbol.
Examples
These examples use Nerdamer Notation.
Evaluate a simple polynomial definite integral with numeric bounds.
defint(x,x,0,1) // → 0.5
Evaluate the singular-endpoint integral numerically; the result is approximately -1.
defint(log(x),x,0,1)Keep parameters that are independent of the integration variable.
defint(2*z,x,1,4) // → 6*z
Interfaces
The same operation is available through the interfaces below.
Nerdamer Notation
Use this form inside input passed to nerdamer(...).
defint(arg1, arg2, arg3, arg4)nerdamer.defint
Call the operation through the default nerdamer import.
nerdamer.defint(f: ExpressionInput, dx: ExpressionInput, from: ExpressionInput, to: ExpressionInput): ExpressionParameters
| Name | Type | Description |
|---|---|---|
f | ExpressionInput | The function being integrated |
dx | ExpressionInput | The variable of integration |
from | ExpressionInput | The lower limit of the integral |
to | ExpressionInput | The upper limit of the integral |
Returns
Expression — The numeric value if possible else a symbolic function
Direct JavaScript / TypeScript API
Import the operation directly from its package entry point.
import { defint } from 'nerdamer/calculus';defint(f: ExpressionInput, dx: ExpressionInput, from: ExpressionInput, to: ExpressionInput): ExpressionParameters
| Name | Type | Description |
|---|---|---|
f | ExpressionInput | The function being integrated |
dx | ExpressionInput | The variable of integration |
from | ExpressionInput | The lower limit of the integral |
to | ExpressionInput | The upper limit of the integral |
Returns
Expression — The numeric value if possible else a symbolic function