1. Evaluate the integral by reversing the order of integration. re dy dr.

Q: x3 . In x dx

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

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Q: Change the order of integrations to find iterated integral e dydx. 2

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Q: , Deys dy ola c=3

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Q: S 343.4 * (0) (9x) dy

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Q: Evaluate the itorated integral. 24 ,xty *ty dx dy

A: First we need to calculate integral with respect to x then y

Q: Evaluate the integral. In(Vx) dx

A: Solution:

Q: Integral in REVERSE ORDER

A: Given that  I=∫08∫y32ex4dx dy Limits are given y=0 and y=8     x=y3y=x3  and x=2

Q: Evaluate the integral. ∫t3  et dt

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

Q: In ly-y-cf dy

A:

Q: 37. x² In x dx

A: To evaluate the integral ∫1e2 x2 ln x dx using integration by parts.

Q: Which one of the following integrals reverses the order of integration f (x, y) dydx? al

A: For changing the order of the given integration: if we are given that the limits of independent…

Q: Sketch the region of integration corresponding to y²e= drdy, (log æ)3 J = and evaluate J.

A: We will evaluate the given integral.

Q: S. v cos (x*) dx dy

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Q: 2. Compute the integral dy dx by interchanging the order of integration.

A: Order of change of integrals

Q: Reverse the order of integration and evaluate the double integral dxdy

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Q: Compute the integral below using integration by parts. Sxešdx

A: The answer is found in step-2.

Q: sketch, reverse and evaluate the integral dy dz 15

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

A: Given: ∫-24∫013-xydydx

Q: Evaluate the double integral by reversing the order of integration / -dydæ A. 2 In 3 в. In 2 2 In 3…

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Q: Evaluate the integral.

A: Given, ∫49lnyydyLet, I=∫49lnyydy Integrate by parts we get,…

Q: (유) 6. dy dr Evaluate the double integral:

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Q: 26.Evaluate the integral by reversing the order of integration. a) 0∫1 3y∫3 ex2 dxdy

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Q: 14) ſe Vtanh® e" dy

A: Given that evaluate the integral

Q: Sketch the region D that gives rise to the following repeated integral, change the order of…

A: The solution follows as

Q: If f(x)dx - + what are the bounds of integration for the first integral? a = and %3D

A: To find the bounds of integration

Q: (b) Integrate the following using integration by parts: [5t* Int dt

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Q: Evaluate the integral using integration by parts. cot -1(5y)dy

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Q: Evaluate the integral using integration by parts x2 In (x)dx 1

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Q: t * et  Compute the convolution integral.

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Q: Evaluate the integral 'In (Inz) dz X

A: Note: instead of x there should be z in denominator otherwise x behave likes constant.

Q: 8r dr. 4. Evaluate the improper integral or show that it diverges:

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Q: Reverse the order of integratlon and then evaluate the Integral 10Tin6 Jinu! dx dy 9/10 et2

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Q: Evaluate the integral ∫dz/1 + ez

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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: Jy cosy smy dy 3

A:

Q: 3. Reverse the order of integration in 24e² dydx and then evaluate the integral with the new limits

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Q: In y -dy 4

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Q: Evaluate the integral dydz. Va (y+1)/2 [Hint: Reverse the order of the integration.] Select one:

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Q: what is the integral of z 3^z dz

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Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: Evaluate the integral. dy y4 – 16

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Q: Reverse the order of integration and then evaluate the integral. 1 dy dx 3-yA. O In 17 - 1 4 O In 17…

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Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

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Q: 4. Evaluate this integral by reversing the order of integration: Vy3 +1 dy dx.

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Q: 1–q² (b) Interpret Vr2 + y? dydx as a volume and calculate the integral without integrating.

A: b)

Q: Set up integral for the Velume aboud X- 3 X = * and Y=2

A: To set up the integral