Find the area A of the region between the graphs of f and g on the interval [1/2, 2]

Q: Find the area betweeen y=x2 and y= -(x-1)2+1 on the interval [0,2]

A: Given: Equations of curves are y=x2 y= -(x-1)2+1 to find the area on the interval [0, 2] The area…

Q: Find the area enclosed by the graphs of a = f(y) = y³ - 26y + 10 and x = g(y) = 40 - 6y² - y³. (a)…

A: Given:The functions are  and To Find:(a) The intersection point(b) Functions that are to the right…

Q: 3) Use approximating rectangles to approximate the area under the curve y = 4 – x2 on the interval…

A:

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: we can solve y2.

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.