integrate the function f over the given region. f(x, y) = 1/lnx  over the region bounded by the x-axis, line x=4  and curve  y=lnx

Q: a) Find the integral of the function f(x, y) = e region bounded by y = 3/x and y = 9 %3D and y –…

A: Given - fx, y = exy over the region bounded by y = 3x and y = 9 and y-axis . To find - The integral…

Q: The area of the region bounded by the curves y =x and y = 20 –x² is drx|-'א-0 'J - »4,4 - S** |20…

A: We will use double integration to find area

Q: Find the area under the curve f(x) = 2x* from x = - 3 to x = 2. Area %3D

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Q: Find the area bounded by the curve x = (y+1)2 and y+1 = x2. Show complete solution of points of…

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Q: Calculate integrate integrate sinx/x da Where R is the triangle in the xy plane bounded by the…

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Q: Estimate the area between the function y = 2x2 + 2x +1 and the a-axis on the interval [4, 7] using 3…

A: GIVEN DATA :  Function y=2x2+2x+1 on the x-axis in the interval 4,7       TO FIND : Area by using…

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the…

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Q: Consider the region bounded above by f(x)=−x2+9x+7 and below by g(x)=8x+5. Find the area, in square…

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Q: Determine the area of the region between the two curves by integrating over .the y-axis X = y2 and x…

A: Area of the region between the two curves x1(y)  and  x2(y) is given by ∫abx1-x2dy    where a≤y≤b

Q: Find the area of the region by bounded by y = 4x and y = 2x – 4 by integrating with respect to y.…

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Q: use the integration by parts to evaluate the intergral  x In2 x.dx

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Q: Sketch the region of integration and change the order of integration of ,° SN y+2 f(x,y)dxdy.…

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Q: .Determine the distance from the y-axis of the centroid of the area bounded by the curve y = x³, the…

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Q: Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double…

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Q: π Find the area of the region enclosed by y = sin¯¹(x), y = and the y-axis without using integration…

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Q: I. Find the area bounded by the curves y=x', y 1, and x = 0 using double integration.

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Q: Using the given equation of curves: y = x, y= V12 – 2x a) Determine the common intersection points…

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Q: evaluate using Integration by Parts.

A: Use the method for integration by parts. Assume the value for u and v’.

Q: compute the area of the surface formed when f(x) = 2 + cosh (x) between 0 and 1 is rotated around…

A: Given problem:- compute the area of the surface formed when f(x) = 2 + cosh(x) between 0 and 1 is…

Q: Find the area of region that is bounded by the given curves. Integrate with respect to x and then…

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Q: Find the area bounded by the curve y = 1+x² and the lines y = 0, x = y and x = 2. Show complete…

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Q: The curves x = 4y - y^2 and x = 2y - 3. Set up a single integral that evaluates the shaded area and…

A: Given  x=4y-y2 ,x=2y-3  To find  Area between  given curve using single integration method

Q: Integrate f (x, y) = x over the region bounded by y = x, y = 4x − x^2, and y = 0 in two ways: as a…

A: First draw the graph of line y=x and parabola y=4x-x2. Then find the area of the intersection…

Q: Determine which value best approximates the area of the region bounded by the graph of f (x) = 4 -…

A: In this question we will use basic of calculus i.e application of integration. We will simply draw…

Q: Approximate the area under the curve y=f(x)=1/x  on the interval [1,4] , Using 3 rectangles

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Q: Find the area of the region between the curve y = 3 - x2 and the line y = -1 by integrating with…

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Q: Find the area bounded by the curve y = e^x , y = e^-x and x = 1, by integration.

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Q: Use integration techniques to find the area of the region enclosed between the curve y = v4– and the…

A: We first sketch the region using a graphing calculator  x is from -2 to 2 (from the graph)

Q: Use the Midpoint Rule to evaluate the integral Sx-dx.

A: Midpoint rule:Let f(x) is a polynomial of degree ⩽n-1Let the midpoint x1=a+b2 and…

Q: Find the moment of inertia with respect to y-axis the area bounded by a²y = x³ , the x-axis, and the…

A: Given....

Q: The area enclosed by the curves f(x) = 2 and g(z) = Va is given by integrating (Select ] over the…

A: We have to find the area

Q: Integrate the function f(x.y) = x'y over the region on bounded by y=x,x-0, x-1 y 0

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Q: Write an iterated integral of a continuous function fover the region bounded by y =x, y = 2x-4, and…

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Q: Find the area of the region by bounded by y = 4x and y = 2x – 4 by integrating with respect to y.…

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Q: Find the area of the region that is bounded above by the curve f(x) = (x + 2)² and the line g(x) = 4…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: Find the average value of the function F(x,y) = x³x ++ the region 05 XS2 and 0≤ y ≤ x². over

A: Solving

Q: Find the area of the region enclosed between f(x) = 0.2x + 6, g(x) = x, x = -2, and > Area =

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Q: Which order of integration is preferable to integrate ƒ(x, y) = xyover R = {(x, y): y - 1 ≤ x ≤ 1 -…

A: Given: fx,y=xyR=x,y:y-1≤x≤1-y, 0≤y≤1 To Determine: Which order of integration is Preferable to…

Q: Estimate the area of the function f(x) on the interval [a, b] width: Ax =" Estimate area under the…

A: Given : Curve fx = 1 - x2 interval 0,1 and n = 4 sub intervals   To find : Area under the curve…

Q: Find the total area under the curve f(x) = 2xer² from a 2xe from x = 0 and a

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Q: Estimate the area under the curve given by the function f(x)= ^3√x on the interval [1, 8] using 6…

A: The solution are next step

Q: Find the area (in square units) of the region bounded by the curve y = cosx and y = -1 on the…

A: Given curves y=cosx and y=-1. The objective is to find the area of the region bounded by the curves…

Q: Find the moment of inertia of the area bounded by the curve x^2=4y, the line y=1 and the y-axis on…

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect…

A: Given query is to find the are of the region bounded by the curve.

Q: Approximate the area under the curve y=1/x from x=1 to x=4 using the left endpoint estimate with six…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the area of the region by bounded by y 4x and y = 2x – 4 by integrating with respect to y. The…

A: given curve y2 =4x and y=2x-4

Q: find volume of area bounded by y = x 2x +3 and y = 3 about line y = 3 an |the

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Q: Find the area of the region bounded by the graph of f(x) = x sin x and the x-axis between x = 0 and…

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Q: Q3. The region bounded by the curve y x² and the line y = 3x, is revolved about the line x = -3.…

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Q: Find the area of the region enclosed by the curve y = 4x – x² and the line y = x using double…

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