y = -4x + 40 {0

Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

Q: Find the area of the region enclosed by y=2-x and y = r

A:

Q: Find the area of the region between y² = x and x = y +2.

A: Given,  y2 = x   and  x = y+2  We have to find the area of region between y2 = x   and  x = y+2

Q: Use horizontal slices to find the area in the shaded region.

A: For horizontal slices, we have to use dy So we try to solve both functions for x first

Q: Q4) Find the shared area between the two cardlold r=1+sin@ and r%3D1-sin0

A:

Q: Find the area of the region enclosed by x = 9- y² and x = 5.

A:

Q: Using the power series method about x = 0, the recurrence relation of the differential equation: -…

A: Given differential equation is x2+1y''−4xy+6y=0.......1. We have to find the recurrence relation of…

Q: Find the area of the region bounded by y²= 8x and y=x With figure and representation

A: Given,y=x...............(1)andy2=8x..................(2)on solving equation (1) and…

Q: Find the area of the region bounded by r2 =50cos(2theta)

A:

Q: Determine the area OF the region inside r= 4co520 but outside of +=2.

A: Two given curves are r=4cos2θ and r=2

Q: Solve the problem. Draw figure to show the bounded region. Find the area bounded by y=(1-x^2)^2 and…

A:

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: Graph and Find the area of the region(s) enclosed by y 1+ sin x, y = 1- sinx, and -x

A:

Q: Find the area of the bounded region

A: Given parabola is y=x2. Given point is 2,4 Differentiating the given curve with respect to x, we get…

Q: Find the area of the shaded region under the quarter circle of radius 2 below. (hint: divide the…

A: Solved below

Q: find the area of the circle r=a by integartion

A:

Q: sin x dy (2y Cosx + sin4 x) ax

A:

Q: find the area of the circle r=a by integration

A: The diagrammatic representation is,

Q: Find the volume of the hollow birdhouse. (type only a number with no units)

A: the given figure is the combination of cuboid and  triangular prism therefore the volume of…

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.