Q No 2. Find the area of the region enclosed by the curves y? = 4x and y = 2x – 4 By integrating (a) with respect to x (b) with respect to y

Q: Calculate the finite area between the curve y = 3x (-x + 1) and the curve y = -3x. These two curves…

A:

Q: Find the area of yellow region, which is enclosed by the two curves. y A x=y²- 4y (-3, 3) x= 2y- y?…

A: Find the area

Q: D Find the area of region bounded by the Curve y= Xe and X-axis From X=otox=4 %3D

A:

Q: Find the area of the region above the curve y = x2-6, below y= x, and above y=−x.

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.