Find the area of region enclosed by the curves. Hint: using integration y=lx²-4l and y=(x²/9)+4

Q: Find the area of the region between the curve y 4 In x and the horizontal axis for

A: We have to find the area of the region between the curve  y=4 ln x and the horizontal axis for…

Q: Find the area bounded by the curves y2 = 4x 4х + у — 6 %3 0

A: We need to find the area bounded by the curves y2=4x4x+y-6=0

Q: Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

A: we use integration to find area between curves

Q: Find the area of the region bounded by the curves.  y = x(x2 - 1) and the x-axis

A: Given curves are, y=x(x2-1)and the x-axis y=0 .   First, find the intersection points:…

Q: What is the area of the region enclosed by the curve y=x(x-1) (x-2) and the x-axis?

A: Given:            Curve: y=xx-1x-2             Area =∫01xx-1x-2 dx+-1∫12xx-1x-2 dx…

Q: Find the area of the region bounded by the curve y=1- and the x- axis.

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Q: find the area bounded by the given curves. y = 8x^3 + 1 and y = 8x + 1 square units

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Q: Find the area of the region that lies under the curve, y = sin x on the interval 0< x <;

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Q: By sketching the graph and using integration, find the area of the region bounded by, p*y² = x°(2P –…

A: P4y2=x5(2P-x) To Find: Sketching the graph and using integration, find the area of the region.

Q: Find the area bounded by the given curves. y = 3x2 and y = 27…

A: Given:

Q: Find the area of the region under the curve y 3x +2x, the x-axis, x=0 and x 4. 0

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Q: Shade the area of the region bounded by, x² +y? p Hence, find the area of the specified region…

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Q: Use integration to find the area of the region between y = x² + • the x-axis, x = 1 and x = 3.

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Q: Find the area of the region bounded by the given curves: y = x² y = 4x – 22

A: Given: y=x2, y=4x-x2 For finding area of region bounded by given curves, we draw graph of both…

Q: What is the area of the region between the curve y = 3x² and the x -axis on the interval [O, b]

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Q: By iterated integration, find the area bounded by the parabola y2 = 4ax and its latus rectum, and…

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Q: find the area of the region enclosed by the curves y = 3x, y = -3 and y = 4 – x using integration.

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Q: the area bounded by the curves y=2-x2 and y=x2 is

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Q: Find the area bounded by the given curves. y = 3x2 and y = 27

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Q: Sketch the domain region and change the order of integration. 2 6-x | f(xy) dydx -3

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Q: A// Find the area of the region bounded above by (y= e), bounded below by (y x)and the boundary line…

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Q: Sketch the region whose area is given by the definite integral. 8. x dx

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Q: Compute the area of the region which lies to the right of the parabola x = y^2 – 12 and to the left…

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Q: Find the area of the region bounded by y = xInx and the x-axis between x=1 and x = e

A: Using formula of Area Under The Curve.

Q: Use integration by substitution to find the area under the curve                            y = 1 /…

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Q: Find the area of the infinite region in the first quadrant between the curve y = eX and the x-axis.

A: Given curve, y=e-xand x-axis Formula for the area of the region under a curve is given by A=∫aby dx

Q: find the area bounded by the given curves y=8x3+7 and y=8x+7

A: Given,           The curves are y=8x3+7 and y=8x+7.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: Approximate the area under the curve y=4x2+1 on the integral [0,4] n=4 using the trapezoid rule

A: Given : y = 4x2 + 1  To find : Area under given curve using trapezoid rule . Solution : Approximate…

Q: Shade the area of the region bounded by, x2 + y? p Hence, find the area of the specified region…

A: Given problem is :

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

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Q: Find the area of the region bounded by the curves y x2 and y = rVr + 2.

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Q: By Stetching the graph and using integration, Find the area of the region bounded by, 25 y = x…

A: Given  25y2=x210-x.

Q: Find the area of the region bounded by given curves. 1. y +4x = 0 and x+2=0

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Q: Shade the area of the region bounded by, x 2+ y2sp? and |x| + ly| 2p Hence, find the area of the…

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Q: Find the area of the region between the curve y = 21-x and the interval -1≤ x ≤ 1 of the x-axis.

A: Given: y=21-x, -1,1

Q: Find the area bounded by the given curves. y = x2 − 5 and y = 4 − 8x2 _____________ square units

A: Given curves y=x2-5 and y=4-8x2. The objective is to find the area bounded by the curves.

Q: The area enclosed between the x-axis and the curve y=x2 between x=1 and x=2 is:

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

A: Find the area bounded by curves

Q: Find the area of the region between the curves ソ=x and y=x? for 0<x<1

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Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: Find the area of the region bounded by the curve y = ln x, the x axis, and the line x = e^2

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Q: Find the area bounded by the indicated curves. y=7-7x2, y 0

A: We have to find out the area enclosed by the curves

Q: Use the midpoint rule with 4 rectangles to approximate the area of the region bounded above by y =…

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Q: Find the area of the region bounded by the curve y = e2x - 3e* + 2 and the x-axis.

A: The region is bounded by the graph y=e2x-3ex+2 and the x-axis.

Q: Find the area of the region between the x-axis and the curve .3 y = x³- 4x - 2 < x<2 ?

A: Let us first plot the graph of y=x3-4x, -2≤x≤2.

Q: Find area of the region under the curve y=8−3x^2 and above the x-axis

A: First we find where y=8−3x2 cuts x axis. We set y=0 and solve for x

Q: Find the area bounded by the curve and y+ 4 = 0 y=x²-3x 3X

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