The Value of the integral s s xy Jx*+ye dydx is 15 ITrue False 日回

Q: Evaluate the integral. er HEAD ² y³ In(x) dx, y> 0 ind

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Q: Use symmetry to evaluate the following integral. 2 ja (2- |x|) dx - 2

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Q: Evaluate he integral isin (x+rJl dx

A: given integral, I=∫03π/2sin(x+π) dx we have to evaluate given integral

Q: Find the integral S výy+9dy = ...

A: Explanation of the answer is as follows

Q: -Inx 2. S S" So ye dzdxdy y

A: To evaluate: ∫12∫yy2∫0ln xyezdz dx dy

Q: Evaluate the integral. ∫t3  et dt

A: ∫t3  et dt  We need to evaluate the integral.

Q: VE dt 42+T

A:

Q: Consider the triple integral I = S S“(y² – 6z)dydzdx. -

A: ∫02∫x21∫0xzy2-6zdydzdx=∫02∫x21z3x33-6z2xdzdx=∫02x31-x812-6x13-x63dx=31.88888…

Q: dy dr x+ y 33. a dz dy x² + y 34.

A: .

Q: Evaluate the double integral /| (2² + 8y) dA, where Dis bounded by y = x, y = x³, and æ > 0. Answer:

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Q: Calculate the iterated integral 2 So Só Væ + ydædy

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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: 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 integrals:

A: Integration: ∫sect dt=ln|sec t +tan t|+c∫u.v dx=u.∫v dx -∫[ddx(u).∫v dx]dx   [ by parts]

Q: Evaluate the integral.

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Q: evaluate the triple iterated integral.

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Q: The value of the triple integral J.J.J v+2z)dzdydx (Correct to ONE decimal place) will be

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Q: The value of the iterated integralS, L (3 - ry)dydx=.. 2

A: Given: ∫-24∫013-xydydx

Q: By using trapezoidal rule, n=2, The integral J = -π/2 ST O 0.9480 O 0.94809 O 0.9481 O 0.9444 O…

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Q: Rewrite the iterated integrals in the order dzdxdy 1 1-x² SS S f(x, y, z)dydzdx 1-x 0 0

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Q: Evaluate the integral. 'Tt/2 7 cot (x) dx T/4

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Q: DEvaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x 2. %3D

A: Integration of cos(x) = sin(x) Integration of sin(x) = -cos(x)

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

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Q: Evaluate the integrals LI Vy+I dy b. So a. 5r dr (4+r²)?

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Q: Solve the double integral J, J, (1+ xy)² dydx In n(금) O 2ln(5) – In(3) O In(3) – 4ln(5)

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Q: Evaluate the improper iterated integral. • 1/x9 y dy dx Jo

A: In this question we have to evaluate the integral.

Q: Rewrite the iterated integrals in the order dzdydx 11-y? 1-y SS S f(x, y, z)dædzdy 00

A: The given integral is: ∫01∫01-y2∫01-y f(x, y, z) dx dz dy

Q: Evaluate the iterated integral. •x5 V 64 – x6 dy dx /o Jo

A: The given integral is:∫02∫0x564-x6dydxWe need to evaluate the integral.

Q: Inx 2. S soe ye*dzdxdy

A: topic - triple integration

Q: Use a table of integrals to determine t/7t + 13 dt. JWT- 13 dt =D 7t+13

A: Here we have to evaluate I=∫t7t+13dt

Q: The improper integral fx dx is

A: An improper integral is the limit of a definite integral as an endpoint of the interval of…

Q: The suitable substitution to evaluate the integral (V cot (2x) dx is sin (2x) Ou3tan(2x) none Ou=…

A: To find The suitable substitution to evaluate the integral.

Q: Jy cosy smy dy 3

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Q: (8) Evaluate the contour integral: 2021 e1/z² dz. Izl=2

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Q: Evaluate the integral cot2x dx J Tcot?x – 15

A: We will evaluate the given integral as shown below

Q: Evaluate the triple iterated integral. r2 xyz dx dy dz

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Q: Use the Trapezoidal Rule to evaluate the integral S |r| x²dx O 2 O -2 O 1 -1

A: Given Intergral ∫-11xx2dx. We have to find the value of it by using the Trapezoidal Rule. The…

Q: Evaluate the integral: S sin vE dt. tcos³ \t

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: Evaluate the double integral | 3xydA where Ris bounded by y=2– x, y=0, and x =4 –-y² in the first…

A: this problem is related to application of integration

Q: Evaluate the triple iterated integral x dz| dy d

A: Solution of given question is followed by:

Q: Evaluate the triple iterated integral. 2 4 xyz' dx dy dz Jo Jo J -1

A: Here we have to solve the givne triple integral I=∫02∫01∫-14xyz3dxdydz

Q: Evaluate the iterated integral. 9. .5 dy dx dz Jo

A: We need to evaluate integral.

Q: t dt JVI+ 2t

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Q: Write five other iterated integrals that are equal to S, L f(x,y,z)dz dx dy.

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Q: Evaluate the improper iterated integral. 9. x2 dy dx 1 + y?

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Q: Evaluate the integral. H (z(1 – 2z)*) dz =

A: topic - definite integral

Q: Evaluate the triple iterated integral. ,3 xyz dx dy dz

A: