Riemann Integration

Interval

Let . Length of the interval .

Disjoint interval

When 2 intervals don’t share any common numbers.

Almost disjoint interval

When 2 intervals are disjoint or intersect only at a common endpoint.

Riemann Integral

Let is a bounded function on a closed, bounded (compact) interval.

Riemann integral of is:

Definite integral

When are constants.

Indefinite integral

When is a constant but is replaced with .