15) When does S, f(x) dx represent the area under the graph of f (x), above the x-axis, between x = a and x = b?

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

A:

Q: How many individual areas in the total area bounded by the curve y=x - 3x +2x and by the x-axis from…

A: first we plot the given region then decide how many areas exist

Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

A:

Q: 3 Estimate x dx using right endpoints for n = 4 approximating rectangles. x² dx is approximately

A:

Q: How many individual areas in the total area bounded by the curve y=x - 3x² +2x and by the x-axis…

A:

Q: 5 Find the area under the curve y = - over the interval [4, 7]. (3x + 1)² Enter the exact answer.…

A: Area under the curve y = f(x) from a to b is : A = ∫abf(x)dx

Q: 2. The area bounded by y=3x+4 and the curve y=x2 is revolved about the line x =5.

A: 2) The area bounded by the given curves is:

Q: 10. Find the area between y = 3x²+14 and y = 4x + 2 over the interval [-2 , 2]

A:

Q: What is the area under the curve y = x° and above the x-axis between x = 1 and x = 3? What is the…

A: We have to use integration here.

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

A:

Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4

A: 16)Given,y=x316-3x24+3x and y=x

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

A:

Q: Find the area between the curves y = ln x and y = ln 2x from x = 1 to x = 5.

A: The given two curves are,

Q: If the change of the variables u=x^2-7 is used to to evaluate the definite integral upper 6 and…

A: Explanation of the answer is as follows

Q: The area between y = n + x* and the x- axis in the interval [0, 1] approximated using left endpoint…

A: Find your answer below

Q: 1. Find the area lying above the x-axis under the parabola y = 4x – x2.

A: The area lying above the x-axis under the parabola y=4x-x2

Q: # 8) Find the area under the curve. y 4-x

A:

Q: 4. Find the area of the region bounded by y = cos x, y = sin x, x = 0, x = %3| might have to break…

A:

Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

Q: 1. Find the area between the curves x2-y2 = 9 and the line y = 2x-6

A:

Q: 21 What is the area f(x) under the line x) = 6 – x above the interval from 2 to x? What is the…

A: The given curve is: vx=6-x

Q: 22 What is the area f(.x) under the line x) = 6 – x above the interval from x to 6? What is the…

A:

Q: When we find the area between an upper curve f(x) and a lower curve g(x), we integrate f(x)-g(x).…

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Q: The area between the curves y =2 cos (x) + 4 and y = 2 – 2 cos (x) on the interval [0, 1] is: 27 3 3…

A:

Q: Find the area of the “triangular” region in the first quadrant that is bounded above by the curve y…

A: Consider the provided curve,  Bounded above by the curve y=ex2 and below by the curve y=e-x2. And on…

Q: What is the area between the graphs of the functions f (x) = 5 sin x and g (x) = e x − 3, between x…

A: Graph of the given system is:

Q: 22) Find the area of the region between the curve y = 2x/(1 + x2) and the interval -2 sxs2 of the…

A:

Q: 1. Sketch a region bounded by the function ƒ (x)= x+1 the x axis and two vertical lines so that the…

A: Since you have asked multiple questions in a single request so we will be answering only first…

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: 2 (F(x) + x³)dx = ? %3D -1

A: Given that the area under f(x) in [-1,2] is 10br2 So,

Q: 8. Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis.

A: We have to find volume of solid generated by revolution.

Q: 2. Find the total area under the curve f(x) = 2xe² from x = 0 and x = 5.

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: Find the area between the curve ​f(x)=x^2​+15 and the​ x-axis from x=3 to x=5.

A: Given query is to find the area under the curve.

Q: 1. Find the area under the curve y = 9- a2 over the interval[0, 3] using right end point…

A:

Q: 1. Find the area of the region bounded from the right by the curve x = 4 - y2 , from the left by the…

A:

Q: 1. Find the area under the curve of y on the interval [1, 4).

A:

Q: Find the exact area below the curve y = x°(1 – x) and above the x-ax is. %3D

A: y=x31-x Diagrammatic representation of the required area is,

Q: Problem - 21: Determine the area bounded by the curves y = –x2 - x2 20x + 69 and y = (x – 3)². - - -

A:

Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: 3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x 2 and x =…

A:

Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

A:

Q: 7 1 dx using the midpoint rule with four subdivisions to four decimal places. In(x) Approximate The…

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Q: 1. Find the exact area between the curve f (x) = 9 – x², the x-axis, and x=-3 and x=3.

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

Q: 14. (a) Find the area bounded by the curves y = 2x² and y = 4x. %3D (b) Two cars both start on a…

A:

Q: 19. (a) Find the area bounded by the curves y = 2x2 and y = 4x. (b) Two cars both start on a journey…

A: Given two functions: y=2x2 and y=4x To find a) Area under the two curves b) If two curves represent…

Q: The area under the curve y =3/x over the interval [1.4]is equal to: 14

A: