Integraaliväli

Integraaliväli refers to the interval over which an integral is evaluated. In mathematics, particularly in calculus, an integral represents the accumulation of quantities. This accumulation is performed over a specific range, which is defined by the integral limits. These limits are typically denoted as the lower limit and the upper limit of the integral.

For a definite integral, represented as $\int_{a}^{b} f(x) dx$, the integraliväli is the range from $a$ to $b$. The value of the definite integral is the net area between the function $f(x)$ and the x-axis within this specified interval. The lower limit, $a$, is the starting point of the interval, and the upper limit, $b$, is the ending point.

The concept of the integraliväli is fundamental to understanding and calculating definite integrals. It dictates the boundaries of the summation process inherent in integration. For improper integrals, the integraliväli may extend to infinity, requiring special techniques for evaluation. The choice of the integraliväli is crucial for obtaining the correct result of an integration problem.