Evaluate using integration by parts or substitution. 2,2X dx

Q: Jse the specified substitution to find or evaluate the integral. 27 dx Vx(9 + x) u = v

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Q: Answer All Questions. lcosh" a dx. S. Evaluate dx. +2x-x 6. Find Sun "sde using integration by parts…

A: Given

Q: Evaluate the integral. xe dx NOTE: Enter the eract answer.

A: Find your answer below

Q: Integration by parts with u = Inx, dv = x dx

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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: Use integration by parts to find the integral.  (Hint: Take u = ln(4x), dv = dx.  Use C for the…

A: The given integral is

Q: find the area.  x^2=8y and x=y+1

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Q: Evaluate the integral. (Use C for the constant of integration.)     7e7x dx

A: Solution: the objective is to find the value of the given integral

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y,…

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

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Q: B. Learning Activities : FOLLOW THE RULES! Directions: evaluate the following integrals 1. S- dx…

A: We will evaluate the given integral as shown below

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

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

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

A: Find the volume

Q: Find the area of the shaded region. y 2 x = y? – 9 y = 1 x = eY -10 -8 -6 -4 -2 2 4 y = -1 -2

A: Given

Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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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: Evaluate the integral. xe dx NOTE: Enter the exact answer.

A: Find your answer below

Q: dx 60. x² – 6x + 34 бх + 34

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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 between two curves. x = y? 2- x = 9 0- + + + 10x 2 -2- 4 6 8 4.

A: The objective is to find the area between two curves.

Q: Jend the integral T the Substetution y= 2 seeo

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Q: S2x². uv- Svau Using Integration By Parts, dx = uv- uv- Jva Find du

A: Our Aim is to solve the integral given below using integration by parts∫2x2e13x -(i)

Q: Find the area of the shaded region: 1. yA x= 2 2, 4) y= x? y= 0

A: We will find the area of shaded region as following.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.)…

A: Let's find.

Q: csc³ ÷w cot³ ÷w dx 4 4 3

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Q: X. 2x4 x³x²+x-1 S = C -dx

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Q: Evaluate the integral. dx

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Q: (a) Interchange the order and evaluate the integration, IL xy' dx dy.

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Q: 4ln? (x) dx

A: I have stated the used formulas in the solution

Q: Concept check: Evaluate the following integrals: dx 1. 2x3 + 3x² 2. V1 + 2x3 -dx

A: As per our guideline if multiple questions are posted we are supposed to answer only one question.…

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

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Q: Find the area of the shaded region. y =x – 2 2- y= Vx 1+ + 3 4 -1 square units 2.

A: Given that: To find: Area of the shaded region.

Q: evaluate using substitution and then Integration by Parts.

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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Q: a) I = Sx² e-* dx 2 b) I = S Artan(3x) dx

A: As per our guidelines, we are supposed to solve only the first two problems/subdivisions. Please…

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Evaluate (x - y)dA where R is the region above the x -axis bounded by y = 3x R. and y? = 4 - x.

A: First we integrated with respect to X-axis and then with respect to Y-axis.

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

A: We have to find the the area of the shaded region in the given figure.

Q: ers to find the indicated extrema, assuming that x, y, an y, z) = x2 + y2 + z2 + y +z - 15 = 0

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Q: rst, select appropriate values for u and dv. | and dv =O dx ow, find du and v. Treat a and n as…

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Q: Complete the table. (Use C for the constant of integration.) Integrate Simplify Original Integral…

A: Original integral

Q: 4 •2 I| (6xy²) dy dx

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

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y,…

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

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Q: find the product of integration csc(/x²+y²)cot(/x²+y²) A Vx2+y2

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Q: estion dx Using an appropriate substitution, the integral Jo 2+6x+14 is equal to: (Complete the…

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Q: 3-Vz dz 2+yz

A: Power substitution  is a  method of integration that aims to replace the nth roots in a function,…

Q: Find the area of the shaded region below. y A y= 5x – x² (4, 4) y = x Area = %3D

A: The figure is given by To evaluate : The area of shaded region.