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

Q: Find the area under the curve below from x = 1 to x = 4. y = 5x + (3/x2)

A: We have to solve the area

Q: 1. [0, 3). Find the area between the graph of y = x and the x-axis over the interval

A:

Q: Find the area bounded by the curve y and its asymptote/s. (1+x2)

A:

Q: 5 Find the area under the curve y over the interval [0, 1]. (4x + 4)2 Enter the exact answer. area =

A:

Q: Find the area bounded by the following: 1. Curve y²-8y-8x +32= 0 and y²-8y + 4x = 0

A: We will use basic knowledge of integral calculus and the theory of evaluation of integrals.

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: 6. Find the area between the curve y = x(x - 3) and the ordinates x = 0 andx = 5.

A:

Q: 1. Find the area bounded by the curve y In x and the %3D lines y = 0 and x = e.

A: Given curve is: y=lnx and the line y=0 and x=e Area of bounded regions: Let y=f(x) be a continuous…

Q: 3. Find the exact area between the curve f (x) = -2x² + 12x + 7, the x-axis, and x=1 and x=5.

A: As mentioned, use the sigma formula to find the area A. Plot the curves. Divide the area between the…

Q: Find the area under each of the given curve.  y = 4x; x = 2 to x = 3

A: To find: The area under the curve: Given: The curve is y=4x from x=2 to x=3. Formula used: Area…

Q: 1. Find the area bounded between the curves: y = x+1, y = -2x + 7 and x = 0 A. With respect to the X…

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

A:

Q: 8. Find the area bounded by x² – 6x + y = 0, x² – 2x – y = 0, and the x – axis.

A:

Q: What is the area under the curve of S(x) 5 fromr = 0 to r= 10?

A: Definite integral can be used to find the area bounded between two curves over an interval. Given…

Q: 1. Find the area in the second quadrant bounded by the curve 2x² + 4x +y = 0 using two methods

A:

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

A: We have to find the area between the curve y=x2+3x+2 and the x-axis from x=-1 to x=1.

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: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

A:

Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

A: Given: curves y=x^2+10x , y=2x+9 We have to find the area between the curves

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

A:

Q: 2. Find the area in the second quadrant bounded by the curve y = x' +4x² –x-4 and the x- axis.

A: To find: The area in the second quadrant bounded by the curve. Given: The equation of the curve is…

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

A:

Q: 2. Find the Area bounded by the curve y=4-x2 and the x-axis.

A: 2. The area bounded by the curve y=4-x2 and the x-axis Note:    Multiple questions are given, we are…

Q: B) Compute the area under the curve of the function f(x) = x(3x – Vã), between x = 1 and x = 4.

A:

Q: 1. Determine the area bounded by curves y = -x² + 4x + 3 and y = −x³ + 7x² − 10x + 5 over the…

A: We have to find the area bounded by the curves.

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

A:

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

A:

Q: 1. Find the area under the curve y a. f(x) = x³ [2,3] b. f(x) = 3√x [1,4] (x) over the stated…

A: a) fx=x3          2,3 b) fx=3x          1,4 Find the area under the curve y=fx over the stated…

Q: Approximate the area under the curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Given curve f(x)=x2+9x+10 interval 1,3. The objective is to estimate the area under the curve. Area…

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

A:

Q: 2. Find the area under the curve y = x² from x = 0 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A: Solved below.

Q: If L2 is the sum of the approximating rectangles for the area under the curve y = | cos x| from 2n…

A: Solve the following using left end points approximation

Q: 7 Find the area under the curve y = x over the interval [1, 5]

A: Please refer to the image below

Q: Find the area between the curve y = x2 + 10x + 16 and the x-axis from x = −2 to x = 1.

A: We have limits of curve from x=-2 to x=1

Q: 1. Find the area bounded by y = -x' - 3x and y =- 4. |

A: solve the following

Q: Find the area under the curve f(x) =x+3x+7, above the X axis from x=4 to x=6.

A:

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

A:

Q: 1. Solve the area bounded by the curve (x - 2)² = - ( y - 4) and the lines x=- 2 and y= 4.

A: The area bounded by the curves (x-2)2=-(y-4) ,x=-2, y=4 is as shown above.

Q: 6. Find the area bounded by: d. The curves y=x-4, y38-2x.

A:

Q: Find the area under the curve f(x) = 4 – ÷x² over the interval [0, 3] by using definition with x is…

A: Here we have to use application of Riemann Sum.

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

A:

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: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

A:

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

A:

Q: 2. y = ln x, y = 0, x = 0. Solve in two ways.

A:

Q: Find the area under the curve for y = 3x over the interval [2,5).

A: The given curve is y=3x2