Definite Integral

Consider a real-valued function defined on a closed interval. One of the fundamental objectives in calculus is to determine the area under the graph of such a function. When an exact computation is not readily available, this area can be estimated by dividing the interval into a finite number of equal subintervals. Each subinterval corresponds t...

Consider a function over a closed interval. To approximate the area under the curve, divide the interval into equal subintervals, forming rectangles of equal width.

Select an arbitrary point within the subinterval and use the function value there as the rectangle’s height. Multiplying the height by the width gives the area of that rectangl...