Evaluate the integral 4 (y 2)(2y1) dy Jo

Q: -4-y Evaluate triple integral , S dz dy dx .

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Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Evaluate the integral. 6. 9 In(y). dy Vy J4

A: Given,             ∫49lnyydy

Q: dy y/ 9y2–16

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Q: Evaluate the integral. - 1 y° - 7y° dy У -1 9* У – 7y° dy = -Ty - 4

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Q: Evaluate the integral. dy y+2y-3

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Q: Evaluate the integral. (y – 2)(2y + 1) dy Jo |

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: Calculate the improper integral 2 x+y+ z" . e 2 2 2 -x-y -z 2 8. dxdydz.

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Q: Evaluate the double integral : (x + 2y – 4) dy dr

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Q: Evaluate the iterated integral. 1. 7zeX dy dx dz - 0/

A: According to limit, first we integrate with respect to y then put x7 = t then solve it.

Q: Find the integral of ³y²-y+1 f dy y³-y²

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Q: Calculate the double integral 2 dædy D= {(x, y)| 3< ¤ < 5, 5 –¤ < y < 8 –x} D x3 Enter the exact…

A: We need to evaluate double integral.

Q: Evaluate the integral. ∫ y e0.2y dy

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Q: Evaluate the integral. 7y°dy y'-9 7y dy y7-9

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Q: Evaluate the iterated integral. 3 4 y+5y) dx dy 10

A: The given integral,      ∫13∫04x3y+5y dx dy

Q: Evaluate the integral. Ay'dy 4y'dy y- 12

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Q: Evaluate the indefinite integral. 15y dy J(y – 4)(y² + 4)

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Q: Evaluate the double integral : (y – 8x) dæ| dy

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Q: Evaluate the integral f, (5x + 6y²) dA, where R = {(x,y)|0 < x < 4,0 < y < 3}.

A: Given integral is ∬R (5x + 6y2) dA Where R =  (x, y) | 0≤x≤4, 0≤y≤3

Q: Evaluate the iterated integral. 2 2y (10 + 2x² + 6y²) dx dy Jo Jy

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Q: Apply Green's Theoren to evaluate the integral. C6x+y) dx + (3xy"+4y) dy ter

A: Given integration is ∮c(6x+y3)dx+(3xy2+4y)dy C : Any simple curve in the plane for which Green's…

Q: Evaluate the iterated integral.

A: ∫01∫02 x+4y3 dx dy

Q: Evaluate the iterated integral 2y dy dx 2 x +1

A: on solving this we get the

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. [(x + 3x²) dy

A: To evaluate: ∫C(x+3y2)dy...(1) where C is given by x=2t, y=4t⇒dy=4dt and 0≤t≤1

Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: Evaluate the integral [(x+2y)dy.

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

Q: dy Evaluate the integral y-8y+32 dy J7- By + 32

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Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: Evaluate the integrals. ∫y2(3y3 + 1)4 dy

A: Since, we have to evaluate the integral given below:-∫y2(3y3+1)4 dy -(i)

Q: Evaluate the integral.

A: To evaluate the integral: ∫yy+42y-1dy. Using partial fraction decomposition.…

Q: 2e^xdx-3e^ydy=0   What is y'? What is its integral?

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Q: Evaluate the iterated integral. 2 *4z [In(x) f Jo xe Y dy dx dz

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Q: Evaluate the double integral : (y – 12x) da dy 0.

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Q: Find the integral | 5y In y dy. 5y In y dy = +C

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Q: 1 v/35y² dy

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Q: Evaluate the iterates integral: S, (x- y) dy dx

A: By integration property

Q: Evaluate the integral; 11 dy dx 1+ 3y3 0 vx

A: Change the order of integration

Q: Evaluate the integral. V3 9earctan(y) dy 1 + y2

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Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

Q: Evaluate the integral 1. ( (y - 1)(2y + 1) dy

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Q: Evaluate the integrals 1 (x² + y² + z²) dz dy dx 0, 0,

A: The value of the integral is, 1. The detailed solution is as follows below:

Q: Evaluate the integral. dy y4 – 16

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Q: Evaluate the iterated integral. r2y (8 + 11x2 + 7y²) dx dy ly

A: From the given problem: I=∫02∫y2y8+11x2+7y2dxdy=∫028x+11x33+7y2xy2ydy

Q: Evaluate the integral. inegral 1  to 2 [(4 y2 -7y -12 )/ y (y+2)(y-3) ]dy

A: Given:                  ∫124y2-7y-12y(y+2)(y-3)dy   To determine:                    We can solve…

Q: Evaluate the integral dz dy dr. -2 Jo 5-722-7y2 32

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Q: Evaluate the integral. inegral y / (y+4 ) (2y-1) dy

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Q: Evaluate the iterated integral. 5 2 y dy dx 10 Vx+y 5 2

A: Given, I=∫15∫02 yx+y2dy dx To Evaluate I.

Q: Evaluate the iterated integral. 2 4 (x2 – 2y2) dx dy 1 Jo

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