Which of the following integrals represents the area in the fourth quadrant inside the circle of radius 2 centered at the origin but outside the circle of radius 1 centered at (1.0)? Select all that apply.

Q: Find the shaded area in Quadrant 1 between y = -x + 12 and y = x² (enter an exact answer)

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.