Evaluate using integration by parts or substitution. Check by differentiating. 3xe4x dx

Q: Find the area of the shaded region. y = V 1X1, 1) x = 27 10 15 20 25

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Q: Find the area of the shaded region. y y=9x-x² 20 15 7, 14) 10 y= 2 x 2 4 6. 8 10

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Q: Sketch the region of integration, then change the order of integration and evaluate 256 4 1 dxdy. x5…

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Q: Find the area of the shaded region. y =x+ - 2x3 1+ y = 0 -1 square units 2. 2.

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Q: Find the total area of the shaded region. y = 4 2- y=4 cos2x 1/2 31/2 2.

A: Area between two curves can be found by integration as shown in next step

Q: Evaluate (x + 1)°dA, where D is the region indicated.

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Q: %3D Find the area o

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

Q: Find the area of the shaded region. y y= 9x- x² 20 15 (7, 14) 10 5 y = 2 x 4 6. 8 10 2.

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Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

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

Q: Find the area of the shaded region. y y = Vx 3 마1, 1) x = 27 1 y = X 5 10 15 25 20 2.

A: The area under the graph can be determined by integration. Let, Boundary points are, x1=1 and…

Q: Find the area of the shaded region. y 3 y = Vx 11, 1) x = 27 1 y = 10 15 20 25 2.

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Q: Find the area of the region. y = 81 – x4 y 60 40 -2 4 2. 20

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Q: Find the area enclosed by the line y = x – 1 and the parabola y? = 2x + 6.

A: Given: The line is y = x-1 and the parabola is y2=2x+6   To determine: The area enclosed by the line…

Q: Find the area of the shaded region below. x= y? – 4y (-3, 3) x= 2y – y?

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Q: Find the area of the shaded region. y 4h 3 y = V x 2 1 1, 1) X = 27 1 y = 5 10 15 25 20

A: Topic- application of integration

Q: S(4e2x – 1)5e2x dx

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Q: The region enclosed by x = y1/3, x = 0, y = 27

A: Find the volume

Q: Find the area of the shaded region. 44) 2) (II/4, 2) TE: II II 2 311 4 y = 2 y = csc²x X

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Q: Evaluate Stan" (x) see³x dx.

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Q: Find the area of the shaded region below. у y =Vx 2 x=2 1 y=- x1 Area

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Q: Find the area of the shaded region.

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

Q: Find the area enclosed by the line y = x – 1 and the parabola y? = 2x + 6. %3D

A: To find the area enclosed by the line y = x - 1 and the given parabola.

Q: Determine the area enclosed by the equations. y = x + 6 y = -2x + 6 y = 0

A: Given,y=x+6y=-2x+6y=0

Q: YA y = 2" y = 3 – x

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Q: Find the area of the shaded region. y y= xV4 x y=0 2 y= 0 -2 SQuare units 21

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Q: Find the area of the shaded region. y = x2 + 3 (2,7) (0,3) 23 A) 3 26 В) 3 22 25 D) 3

A: As per the guidelines we can solve 1 problem only.

Q: Find the area of the shaded region. y X = y 6 x = 27 / y? 6

A: *to find:- Area, A under the closed region. *concept:- take horizontal elemental strip of length dx…

Q: Show the area, graph the curves and lines, show the representative element. y = 4/x, y^2 – 4y + 2x =…

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Q: Find the area of the shaded region. y 15 y=7x-x² 10 (5, 10) 5 y=2 x 4 8.

A: The area of the shaded region is, 125/6  the detailed solution is as follows below:

Q: Find the area of the region that is enclosed between y 14x? – x³ + x and y = x? + 41x. The area is

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Q: x=(y– 13 2- x=3-y 1 T= 2Vy

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Q: Find the area enclosed by x – y = 0 and 5x – y = 4 243/8 128/15 9/2 125/6 16/15 18 O Other:

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Q: Find the area of the shaded region. O Save y= 9 x- x 15 (7, 14) 10 5 y=2 x 2 4 8. 10 6. 20

A: To find the area of shaded region

Q: Find the area of the shaded region. y 15 y = 7x-x² 10 (5, 10) 5 y= 2 x 4 6. Enhanced Feedhaclo

A: We can application integration in order to solve the given problem.

Q: Jategrate by substitution. Ch x²- 25 dx

A: Given that: ∫x2-25xdx   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Find the area of : y: 4/x, y-4/x2, x=6

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Q: Find the area of the region. y 5- 4. 10 15 20 25 3. 2.

A: We will be using integration method to find the area under the curve. y = 5/√x From the graph, When…

Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

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Q: (2x4 + 3x² + 7) dx

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Q: Find the area of the given region. y = x − x2

A: The given region is the colored portion of the following graph: Lower limit of x value is 0 and the…

Q: Find the area of the shaded region. y 14 y = 7x -x? 12 10 (5, 10) 8 6. 4 y = 2 x х 2 4 6 8 2.

A: Given the diagram :

Q: Evaluate Stan" (x) see³x dx

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Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 y=x 2 (6,6) 8

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Q: Find the total area of the shaded regions y = x y = -x² + 2x y = x3 .5 -05 0,5 15

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Q: Find the area of the shaded region below. y=Vx+ 2 x = 2 1 y = x+1 Area =

A: Form the definite integration of the difference of the given functions and simplify.

Q: the area of the region. 4 y = y 5- 2 1 5 10 3.

A: Topic:- application of integration

Q: yA y = 8x y = 9 – x? y =

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Q: area betweencurves y=(9/x)-1 and y=14/(x^2)

A: We first sketch the region using a graphing calculator.  y=(9/x)-1 (blue) y=14/x2 (red) x is from 2…