3 1 +++x 4 5 2 -1 4)

Q: i. Find the exact area between f(x) 7x + 10, the x-axis, x 0, and x = 5.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the area under y = 3x2 between x = 0 and x = 1 A B. G. H. 31417/4413 1/2 2.

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Q: Consider the area between the graphs x + 2y = 29 and x + 6 = y?. This area can be computed in two…

A:

Q: Write a definite integral that represents the area of the region. y1 = 3(x3 − x) y2 = 0

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integ y, = x+…

A:

Q: Consider the following. (1, 1) 2 6 10 X 4 X=8 -4 y = 2-x -6 -8F (a) Form the integral that…

A:

Q: Write a definite integral that represents the area of the region.                           f(x) =…

A:

Q: Write a definite integral that represents the area of the region.  f(x) = cos x

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Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x +…

A: topic - application of integration

Q: Which integral would represent the area shown? AY 4+ 3 2- 1. 0.5 1 1.5 A (-2r - 3) d x L (2x + 3) d…

A:

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

A:

Q: Consider the following. (5, 25) fx) = 25 20 15 10 g(x) = 10 x – x 2 6 10 (a) Form the integral that…

A: Given the region is bounded between the line f(x)=25 & the curve g(x)=10x-x2. Consider the…

Q: Write a definite integral that represents the area of the region.                        g( y) = y3

A: Given  g(y)=y3

Q: Write a definite integral that represents the area of the region.                        f(x) =…

A: Given: fx=4x2+2 for find shaded area A region we integrate given function in interval -1 to 1

Q: Which integral would represent the area shown below? The function is f(x) = -x³ + 3. %3D 3 2- 1- 0.5…

A: Given query is to find the area of the shaded region.

Q: Write a definite integral that represents the area of the region.                      f(x) = 4 −…

A: Given: fx=4-x,   -4≤x≤4

Q: Use the substitution technique to determine the following integrals:

A: Important integrals for the question: ∫sec2 x dx = tan x + c ∫un du = un+1/(n+1) + c Other important…

Q: What is the area between y = √x + 2 and y=-3x + 6 from x = 0 to x = 1? Select one: O a.-x² + 4 11 6…

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Q: 5. Find the area between x = y + 1, y = Vx and x = 0.

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Q: Evaluate the integral by making an appropriate change of variables. y - 3 9. dA where R is the…

A:

Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: Evaluate the integral if it exists. 9y /1.2 dxdy, where D is bounded by x = 1, x = y, and x = 2y.…

A: We have to evaluate the following integral if it exists.       ∬D9yxdx dy where D is bounded by x=1,…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use substitutions to integration

Q: Which of the following definite integrals represents the area of the shaded region? A. S²x² dx B.…

A:

Q: Write a line integral(s) that would give you the area the graph of f(x,y)=x^2-3y^2-4x+6y+30 and the…

A: The line integral of  function F along with curve C is defined as  ∫CF·dr=∫C(M,N)·(dx,dy)=∫CM dx+ N…

Q: Use inversion order to the ff integral, the limits of the innermost integral must be a. √x to x b. X…

A: ∫01∫y2y1-x2dxdylimit of y is from y=0 to y=1limit of x is from x=y to x=y2draw region bounded by…

Q: Find the complete integral of (p2 + q2)y = qz.

A:

Q: Write a definite integral that represents the area of the region.                               f(y)…

A: Consider the following equation of curve: fy=y-22 Limit is y=0 to y=2.

Q: Write a definite integral that represents the area of the region. Y1= 3(x^3- x) Y2 = 0

A: The given equation is y1=3x3-x, y2=0. Find the definite integral that represents the area of the…

Q: Find the indefinite integral: A X+X+C B x³ + x² + c с x5/5 + x²/2+c D 5x5+2x²+c Sx(x³ + 1)dx

A:

Q: 2. Which of the following definite integrals represents the area of the shaded region? A. S²(4-x²)…

A: To find the area bounded by the given curve, draw a strip as shown in the figure below:

Q: 1. Find the area bounded by y2 = 4a(y – x), y² = 2a(x + 2y – 3a) and the x-axis.

A:

Q: Let D be the region inside the circle x^2+(y−2)^2=4 and outside the circle x^2+y^2=4.Which of the…

A: To convert into polar coordinates we substitute x = rcosθ, & y = rsinθ, then find the upper and…

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ (3y - 7) dy/(y - 1)(y -…

A: Consider,

Q: Q7. Estimate the integral of y with respect to x , evaluated from -1 to 1. Use 11 values of x ,…

A: Using the code for Trapezoidal Rule-

Q: complete integral of the PDE: z?p? + q? = 1 2

A:

Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: Draw the region whose area is given by the definite integral x² dx a) b)

A: a) Here, the plot contain the curve y=x2 bounded by lines x=2 and x=4.

Q: 48. Evaluate the integral ,(x² + y²)-² dA, where R is the region inside the circle x² + y² = 2 for x…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

A:

Q: Which integral represents the area of the shaded region? y=x³ y=(x-2)² 1 2 [x³ – (x – 2)°]dx [(x –…

A: The given shaded area can be made into two parts.

Q: area of the region. y1 = x2 + 2x + 2 y2 = 2x + 11

A:

Q: Consider the following. y = √x 4 X = 8 y = 2-x -6 -8 (a) Form the integral that represents the area…

A:

Q: The area between y = x² and y - x³ - 4x from x = 0 to x = 2 is 4.05 3 2.08 5.4 O

A: We can compute the area between the curves using the double integration method. We have to consider…

Q: Which integral would represent the area shown below? The function is f(x) = = -2x + 5. 3- 21 1 X 1 2…

A: Solve by area

Q: Find the area between f(x) = 2r ++z+5 and g(a) =+a + 5r +5 between z= -2 and z= 2.

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Q: Find b > 0 such that the area between y =x +1 and y = bx + 2 for 0 < x< 3 is

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Q: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2…

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Q: Which integral would represent the area shown? AY 4 3 2- 0.5 1 1.5 (-x² + 3) dx Lo (-x³ + 3) dx 2 L…

A: NOTE: Refresh your page if you can't see any equations. . here the parabola opens downward so the…

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.