How do you find the interval of an integral?
Set the second derivative of the integral equal to zero. This is the inflection point. If we evaluate the second derivative before and after this point, we can see where the graph of the integral is concave down. That will give us the range of interval where the maximum lies.
What is an interval in integration?
The function f(x) is called the integrand, the points a and b are called the limits (or bounds) of integration, and the integral is said to be over the interval [a, b], called the interval of integration. A function is said to be integrable if its integral over its domain is finite.