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doc: fix some typos #632

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4 changes: 2 additions & 2 deletions doc/specs/stdlib_quadrature.md
Original file line number Diff line number Diff line change
Expand Up @@ -14,7 +14,7 @@ Experimental

### Description

Returns the trapezoidal rule integral of an array `y` representing discrete samples of a function. The integral is computed assuming either equidistant abscissas with spacing `dx` or arbitary abscissas `x`.
Returns the trapezoidal rule integral of an array `y` representing discrete samples of a function. The integral is computed assuming either equidistant abscissas with spacing `dx` or arbitrary abscissas `x`.

### Syntax

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### Description

Returns the Simpson's rule integral of an array `y` representing discrete samples of a function. The integral is computed assuming either equidistant abscissas with spacing `dx` or arbitary abscissas `x`.
Returns the Simpson's rule integral of an array `y` representing discrete samples of a function. The integral is computed assuming either equidistant abscissas with spacing `dx` or arbitrary abscissas `x`.

Simpson's ordinary ("1/3") rule is used for odd-length arrays. For even-length arrays, Simpson's 3/8 rule is also utilized in a way that depends on the value of `even`. If `even` is negative (positive), the 3/8 rule is used at the beginning (end) of the array. If `even` is zero or not present, the result is as if the 3/8 rule were first used at the beginning of the array, then at the end of the array, and these two results were averaged.

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