4. The region A(under the x-axis and below the curve) has an area of 1.5, and | f(x)dx 3.5 Use this information to answer the following. b) [ f(x)dx = 4. 5. d) -2f(x)dx= e) [2+ f(x)dx =

Q: 4 To find the blue shaded area above, | f(x)dx = area a Where: a = , b = on

A:

Q: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

A:

Q: 1. Find the area of the region bounded by the parabola x = 3 + 2y – y? and the line 2x + 3y = 6.

A:

Q: 2. FIND THE AREA BOUNIDE O BY 2 y= x (2,4) and the X- axis THE CURVE

A: The given curve is: y=x2      .........(1)We have to find the area bounded by the curve y=x2, (2,4)…

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

A: Here, each of A, B and C is bounded by the graph of f and the x-axis has area 3. So,…

Q: Find an expression for the area between the curves y = x-/2 and y = e between the lines X = 0 and x…

A: In this question we have to find the expression for the area between the curves.

Q: d the area of the region that lies under the given curve. Round your result to the nearest…

A: The question is taken from the calculus in which we have to find the area under the given curve so…

Q: 12. The area enclosed by the two curves y=x-4 and y =x-4 is given by (a) [(x-x)dx (b) [(x²-x)dx (c)…

A: y=x2-4  &  y=x-4 The graph is,

Q: Set up the definite integral required to find the area of the region between the graph of y = y = 4x…

A: Topic:- application of integration

Q: Find the area of the shaded region 14 12 bounded above by y = 2, bounded below by y = cos(x) + 1,…

A:

Q: What is the area of the region bounded above by y= sin x below by y=x- T and from the left by the…

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: 14. flx)=e** g(x)= 3+ In (x+12) g(x)=D 3+ In (x+12) Approximate having given boundaries arca of…

A: The region bounded by these equations is :-

Q: 9. What is the area of the region between the graphs of y=x2and y =-x from %3D x=0 to x= 1. A) 1 B)…

A: Topic = Area

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: 1. Find the area between the curves of y = x2 +1 and y = x +7 from x = -2 to x = 3. Round to two…

A: Topic-application of integration

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

A:

Q: Calculate the area, in square units, of the region bounded by the line x = 2 on the left, the curve…

A: Given that  The region bounded by the curve  fx=lnx-6+1 and the lines are x = 2, y = 3 and x-axis.…

Q: 1. Find the area under the parabola y = 8 – x 2 – 2x, above the x-axis.

A: Given parabola y=8-x^2-2x Area = double integral (dx dy). First we will draw the graph based on…

Q: If the change of variables u = x + 1 is used to evaluate the definite integral f(x) dx, what are the…

A:

Q: 4) The area between y= In x and y = 2ln x up to x= e is:- A) = 7 B) = 1

A:

Q: 5. Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the…

A:

Q: x2 – 20 and Set up the definite integral required to find the area of the region between the graph…

A:

Q: 17 1. Find the area between the curves y=- 9+x 13 and y=- 1+x

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

Q: 2. Evaluate the following: 1 - dt 1+t? d ctanx а. dx 2 b. f(8-2x) dx x' +1 dx x+1 С. 3. Evaluate the…

A:

Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

A:

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: Draw the region whose area is given by the definite integral. Ay 40- Sa2-2 36 - 2x)dx 32- Use the…

A:

Q: 9. Find the area of the region between y = sin 0 and y = sin e , between 0 = 0 ande = n/2. %3D

A: To find the area of the region between,  y = sin3 θ  and y = sin θ Between θ = 0 and θ = π/2 The…

Q: Set up the definite integral required to find the area of the region between the graph of y = 18 – x…

A:

Q: 4) The area between y = In x and y = 2ln x up to x= e is:- = 7 A) B) = 1

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: Find the area of the region lying between the x-axis and the curve y = In(7x) – 1 to the right of…

A: Consider the function y=ln7x-1x2. Find region between the curve to the right of line x=e and  x-axis…

Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

A:

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

A:

Q: Q4 The area between the curves y = -3 cos (z) – 3 and y = 3 cos (2) – 6 on the interval (0, 7) is:…

A:

Q: 1. Which of the following definite integrals could be used to calculate the total area bounded by…

A: This question is related to definite integration, we will solve it using given information.

Q: 1. Find (6x² – 3x + 5)dx. 2. Find the area of the given region between the x-axis and the graph of f…

A:

Q: (4) Find the area of the region bounded by the curves y = sinx, y = cos I, I = T x = 3π/2. You will…

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Q: 1. Evaluate the integral. Shade the region whose net area you have found. Ax) a). 4 b). (x² – 2x –…

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Q: 2. Find the area bounded by the curve ay² = x³ and the line x = 4 a. 3. Find the area of half an…

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Q: 6. What is the integral that describes the enclosed region between y = 4x - x² and the x - axis ? A.…

A: Given problem:-

Q: 1. What is the integral that describes the enclosed region between y = 4x- x2 and the x - axis ? A.…

A: Here we describe the integral function for graph and find area also.

Q: Calculate the area between the graph of f(x) = x² (x + 4) and the x-axis given x E [0, 5].

A:

Q: 9. Determine the area of the shaded region in the following figure. y 3x limits meets Look Kwherer…

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Q: 17 1. Find the area between the curves y=- 9+x* 13 and y = 1+x*

A: Here we have to find Area bounded by the curves y=179+x2..................... (1) and y=131+x2…

Q: 10. Find the area between the graph of y = and the x-axis for x E [0, b|] where b is a (2x² + 1)²…

A: Please refer the attached image for complete solution. THANK YOU.

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

A: Find the area of the “triangular” region in the first quadrant that isbounded above by the curve y =…

Q: 2 1. Use Simpson's rule to evaluate | dx , by taking n=4 o V1 + x* 2.Find the Area, enclosed by the…

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Q: In item number 5, the integral of Sx3 dx is obtained by applying what Basic Theorem of…

A: