7. Find the area of the region under the curve y= |2x – 1| between x= O and x= 2.

Q: Set up the definite integral required to find the area of the region between the graph of y=x2-17…

A: First draw the curves and find their intersection  points then use integration to get the area.

Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

A:

Q: Find the area under the curve y=3x2+x+2e*/2 from x=0 to x=1.

A:

Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

A:

Q: 1.) Calculate the area under the curve y= y= 7- x, from x=- to X= 2

A: Given: y=7-x2  from x=-1 to x=2

Q: Find the area under the given curve over the indicated interval. y =x; [2, 3]

A: GivenThe curvey=x2     [2,3]To find:Area under the given curveFormula:Area=∫abxdy

Q: Q4. Find the area between curve y = x - 3x + 2 and x-axis from x =0 to x 2

A:

Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

Q: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

A:

Q: 5. Find the area between the curve y, =x² - 4x +12 and y, = x² from 0<x<4

A: Given curves are y1=x2-4x+12y2=x2 Also 0≤x≤4

Q: Find the area under the curve from x = 0 to x = 1 of y = (x 4 + x)5 (4x 3 + 1).

A:

Q: 1. Determine the area under the curve y = x² + 5 from xX1 = 0 to x2 = 1.

A:

Q: 9. (a) Calculate the area of the region bounded by the curves y = x² +1 and y = xª between x = 0 and…

A:

Q: 6. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

A:

Q: 1. Find the area of the region bounded above by the curve y = 2e-* + x, below by the curve y = , on…

A: We have to find out the area of the region bounded above by the curve   y = 2e-x + x , below by the…

Q: b. Find the area bounded by the curve y = Vxe-Vx and the x-axis from x = 0 to x = 4. (45 Ivarks)

A:

Q: Find the area between y = ex and y = e2x over [0, 1].

A:

Q: 2. Determine the area under the curve y = on [0, 1].

A:

Q: 3. Find the area bounded by the curve ay2 = r and the line x= 4 a. Ans. 142 a=

A:

Q: (11) Find the area under the curve y =x+1 for 0<x<2 %3D

A:

Q: - 7. Find the area bounded by the curve y² + x − 4y = 5 and the y — axis

A: We have to find the area of the given curve and line.

Q: 1. Find the area bounded between the curves: y = x°, x = 1, and y -8

A:

Q: Calculate the exact area bounded by x-axis and y = cos(2x) between x = 0 and r = 27.

A:

Q: Find the area under the given curve over the indicated interval. y =x +6x+ 1; [3, 5]

A: To find area under the curve we use definite integrals.

Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

A:

Q: 8. Find the area under the curve y = e* and above the x-axis from x = 0 to x=1. -3x

A:

Q: Compute the area between the following curves y = x° and y = -3x2 on the interval |0, 2|

A:

Q: Find the area under the curve y = 6x° over the interval [0, 2]|

A:

Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

Q: 1)Find the area bounded by the given curves. a)y = 3x2 − 12 and y = 0 b)y = x2 − 2 and y = 10 −…

A: we have been given the function y=3x2-12 and y=0 and the formula of the area under the curve is…

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

A:

Q: Q1/A: Evaluate the area under the curve y = -3x2 + 6x + 5 between x = 0 and x = 2

A:

Q: 1)Find the area bounded by the given curves: a)y = 6x2 and y = 24   b)y = 3x2 − 12 and y = 0

A: The given function are y=6x2 and y=24. The area bounded by the given curves as shown below:

Q: - 5. Find the area bounded by the curve y² − 3x + 3 = 0 and the line x = 4

A:

Q: 7. Find the area bounded by x = t2,y = 1– t3,0st<1 and the y-axis

A:

Q: Find the area between the curves. y = x2 - 9x + 4 and y = x² + 6 from x = 0 to x = 6

A:

Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

A:

Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

A:

Q: Find the area between the curve y = tan x and the x-axis from x = -π/4 to x = π/3

A: y=tanx from x=-π4 to x=π3. The graph is,

Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: 3. Find the area bounded by the curve y = - x² x = 1, and the x-axis. %3D x4 – 16

A: We first sketch the region using a graphing calculator.

Q: 3 Find the area under the curve y over the interval [3, 8] (4x + 2)?

A:

Q: 3.) Find the area under the curve j(x)= 6. V3 to x = 1 from x = %3D VI- x2

A:

Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

A:

Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: Set up the definite integral required to find the area of the region between the graph of y = x- 13…

A:

Q: Find the area of the region under the given curve from 1 to 2. 13 y = x + 4x

A: As we can calculate the area under the given by integrating the given function for the given…

Q: Set up the definite integral required to find the area of the region between the graph of y = 20 –-…

A:

Q: 1. Approximate the area under the curve of y = e¯** from x = 0 to x = 1 using: a. R4 h Le %3D

A: Reimann sum