Integroimisväli

Integroimisväli refers to the interval over which an integration is performed. In the context of definite integrals, denoted as $\int_a^b f(x) \, dx$, the interval of integration is from the lower limit $a$ to the upper limit $b$. This interval defines the segment of the x-axis where the area under the curve of the function $f(x)$ is being calculated.

The length of the integroimisväli, $b-a$, plays a role in the magnitude of the definite integral. If the interval is wider, the accumulated value of the function over that range will generally be larger, assuming the function is non-negative. For improper integrals, the integroimisväli can extend to infinity, which requires special techniques to evaluate.

In numerical integration methods, such as the trapezoidal rule or Simpson's rule, the integroimisväli is divided into smaller subintervals. The accuracy of these approximations often depends on the number of subintervals used within the overall integroimisväli. The choice of integroimisväli is fundamental to defining the problem being solved by integration.