Find the area of the region bounded by the curves y = -3 x° - 3x 1 on the interval [2,11]. and y = 3 X -3x Set up the integral that gives the area of the region. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. OA. dx O B. dy

Q: x² + y? << and |x| + \yl ET Hence, find the area of the specified region using integration.

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Q: By sketching the graph and using integration, find the area of the region bounded by the ellipse and…

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Q: Set up the definite integral required to find the area of the region between the graph of y 15- and…

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Q: 4. Find the area of the region bounded by the following curves: y = (1+x²)3/2? the x-axis, x = 0 and…

A: The region bounded byy=x21+x232, the x-axis, x=0, x=3

Q: Integrate the following with respect to x and simplify your answer as far as possible: (i) S 3x2 +…

A: From the given problem: (i) I=∫ 3x2+6e2x-sin3xdx   So,   ∫ 3x2+6e2x-sin3xdx=∫ 3x2dx+∫…

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

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Q: The definite integral that calculates the area of the shaded region is given as (4, 2) x= y² y = x-2…

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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…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 12 –…

A: Given F(x)=12-x^2 G(x)=21x+102

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

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Q: - 4x + 22, et up the definite integral required to find the area of the region under the graph of y…

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Q: By finding an antiderivative, evaluate the integral, where the contour is any path between the…

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Q: Split the region between the two curves into two smaller regions, then determine the area (in…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny [TD [t ex+y dxdy

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Q: Consider the following. y = x2 y = 6 - x 10 (a) Find the area of the region by integrating with…

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Q: Evaluate the area of the region under the graph of the function: (a) y = 4 sin 2x , 0 < x < «/2 (b)…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 12 -…

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Q: To find the area between the curves y=x and y =2x², we use the integral f(x) dx. The boundaries are…

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Q: 1. Find the area bounded by the curves y?=2ax, y?=4ax-a? 2. By integration, show that the area of a…

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

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Q: Ex3: sketch the region of integration and write the equivalent integral with reversed order of the…

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Q: = Set up the definite integral required to find the area of the region between the graph of y y = 2x…

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Q: Consider the following. y = x² y = 6 - x 10 21 4 (a) Find the area of the region by integrating with…

A: The area of the region by integrating with respect to x and y will given by the difference of the…

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Q: Find the area of the region bounded by the curve x³ x² + 2xy - y² = 0 and the line x = 4. (HINT:…

A: Given  x3 x2 + 2xy - y2 =0 x3 = (y - x )2 x3/2x = y      and   y = -x3/2x   AREA = ∫x1x21f(x)-g(x)dx…

Q: Find the area between y = 6 and y = (x – 1)´ – 3 with a > 0. If needed, round your limits of…

A: The region is bounded to y=6. Therefore,  when x=0: y=x-12-3=0-12-3=-2. Therefore, The required…

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Q: Find the area bounded by the given curves. y = 2x - x2, y = 2x- 4 32 O A. w/ 3 37 OB. 3 31 OC. 3

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Q: Q3 Shade the area of the region bounded by, x? + y? p Hence, find the area of the specified region…

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Q: To find the area between the curves y=x° and y=-5x², we use the integral f(x) dx. The boundaries are…

A: we will use the property that area under curve of a function can be calculated by the definite…

Q: Find the area of the region bounded by the given curves. Show your complete solution on the space…

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

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Q: Sketch the region whose area is represented by the definite integral. ▪4 5 dx y y 6F

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Q: Set up the definite integral required to find the area of the region between the graph of y = 17 – x…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 18 – 2…

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Q: Find the area of the region bounded above and below by the graphs y = sin 2x and y = cos 2x, where x…

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Q: Evaluate the area of the region under the graph of the function: (a) y = 4 sin 2x , 0 < x < t/2 (b)…

A: (a) part

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Q: Q12 By sketching the graph and using integration, find the area of the region bounded by, P'y? =…

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Q: Shade the area of the region bounded by, x + y's 36 and x| + lyl 2 6 Hence, find the area of the…

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Q: Set up the definite integral required to find the area of the region between the graph of y 20-z and…

A: Set up the integral