consider the following equations. y=x^2, y=12-x A) Find the area with respect to x. B) Find the area with respect to y.

Q: Find the area bounded by the equations, y=2sinx, x=3, and y=-1/3x.

A: Given- y=2sinx , x=3 and y=-13x To Find- The area bounded by the above equations, Identity Used-…

Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: The method of washer is used to find the area between curves. True False

A: follow next step

Q: Find the area bounded by y х — 17 2, x = 5, and y = 0 . 36 (Round the answer to four decimal…

A: Answer

Q: Find the area bounded by the curves an arch of y= (4)sin (xA)

A: Given:        y=14sinx4 The area under the curve is the area between a curve f(x) and x-axis on the…

Q: Find between the porabolas the area 2 2.y= X+2 メャ 2.

A: We first sketch the region using a graphing calculator

Q: Sketch the region whose area is given by the definite intergral. Then use a geometric formula to…

A:

Q: Sketch the region enclosed by the curves y = x? – 1 and y =1+x. Hence find its area.

A: We will find out the required value.

Q: Find the area enclosed by the curve r=9+sin(4theta)

A:

Q: Find the area bounded by the equations, y = 2 sin x, x = 3 and y = - 1/3 x

A: Given to Find the area bounded by the equations, y = 2 sin x, x = 3 and y = - 1/3 x

Q: Explain in words and through Calculus how to find the area between two curves.

A:

Q: Determine the area enclosed by the curve r²=4sin(20).

A:

Q: Find the area of the shaded region. 21) 2- y = 2 2 sin(my

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Find the area bounded by the FF. Curved and lines a.) An arch of y= (1/4)sin(x/4)

A:

Q: Sketch the region enclosed by the curves and find its area. y = 9r° ,y = 9/ñx = andx = 1 = 9Vã.x…

A:

Q: Sketch the region by the curves and find its area. y=x^2 y=x+2

A: Given,

Q: Find the area enclosed by the curve  x = 3i y= 2i - i^2

A:

Q: What is/are the difference/s when using the Trapezoidal Rule, Simpson's 1/3 Rule, and Simpson's 3/8…

A: Basic Difference is :   Trapezoidal uses Linear Approximation within each subinterval, while…

Q: Find the area under the cosine curve from 0 to

A:

Q: Find Surface area after revolving about х-ахis y = Vx, 1 < y < 2

A: Use the formula of surface area of revolution along x-axis.

Q: Find the area between the curves y= 7cos(2x) , y= 7sin(4x), x=0, x=pi/4

A:

Q: about the y axis, which integral below giv area?

A: Introduction: The formula for the surface area of the curve rotated about y-axis is given by,…

Q: ion 5 Sketch and calculate the area enclosed by the curves x + y = 4, x – y = 0, and y + 3x = 4.

A:

Q: Determine the area bounded by the graphs of the following equations. y=coshx  , y=3

A: Given that, y = coshx  and   y = 3 we have to calculate the area bounded by both equation, Solve…

Q: Calculate the area enclosed by the curve r = 3sin0

A: According to guidelines we should have been able to solve only first question at a time

Q: Find the area bounded by the curve r= 2+cos θ

A: Given problem:- Find the area bounded by the curve r= 2+cos θ

Q: egi =y=sin{x} eq2 =y=cos( 3 2.

A: Given equations are y=sinx and y=cosx. To find: Area using horizontal strips.  Differentiation…

Q: Calculate the area between the curves r2=16 sin 2Ɵ and r2=16 cos 2Ɵ.show by drawing.

A:

Q: What is the area within the curve r2 = 16 cosϴ. Choices: 16, 32, 64, or 8.

A: Since area bounded by region is in +ve as well as -ve  So area is

Q: Find a limit equal to the area shown. y-sin (21)

A: Given y=sin2x To find the width π2-0n=π2n So now ∑i=1nf0+π2niπ2n Which is,…

Q: Where is the sketch of the area?

A:

Q: Find the area of the region. y = sin 8x

A:

Q: find the area enclosed by one loof of the curve of r = sin(4θ)

A:

Q: Find the area between y = 7 sin (x) and y = 7 cos (x) over the interval [0, π]. (Use decimal…

A: For the cartesian curves y1=f1(x) and y2=f2(x) where y2&gt;y1 in the limit x=a to x=b, the area…

Q: Sketch the area enclosed by the curves and find its area. y=cos2x y=0 x=pi/4 ×=pi/2

A: Given,

Q: 2. By integration, show that the area of a circle of radius r is A = rr?

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Find the area between the curves.

A:

Q: Determine the area bounded by the curves y = -² – 20z + 96 and y= (r – 4)?.

A:

Q: Sketch the spiral r = θ for 0 ≤ θ ≤ 2π and find the area bounded by the curve and the first…

A:

Q: h -y =

A:

Q: Find the area bounded by y = sin²(x) and y = sin³(x) from < i< .

A:

Q: Find the area enclosed by the curve r=2cos angle

A: Given:       r=2cosθ Area of polar region A=12∫αβr2dθ

Q: Find the area between the cuo ves CUrres y=8-x² and y= -2

A: Given curve

Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A: Topic:- integration

Q: What is the area between y=x+1 and y=x^2-2?

A:

Q: У— х — 2 y? = Find area using integration with respect to y-axis

A:

Q: What is the area of yhe region in the first quadrant defined by y=x^2 and y=4

A: Area of the region in the first quadrant defined by y=x^2 and y=4

Q: Calculate the area between these equations, y=2/(1+x^2) , y=-x+6 and x=0

A: Given: To calculate the area between equations y=2(1+x2) y=-x+6 and x=0   Area between the curve…

Q: What is the area between the curves y^2 = 3x and y = x^3 using vertical strip?

A: Given: y2=3x y=x3 Draw the region bounded Consider a rectangular strip of length width dx.

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.