Evalute the following integrals: JJ ye-*Y dA, R > 264, 265] x [263, 526 J a. of triple integrals in your b. E Xplain brifly the app lication Specialization.

Q: Calculate the integral of f(æ, y) = 10x over the region D bounded above by y = x(2 – x) and below by…

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Q: Evaluate the integrals in Exercises using integration by parts

A: The integration given to us is  ∫tan-1ydy            (1)

Q: Evaluate the integral by using a substitution prior to integration by parts |(In 9x)? dx Sams .....…

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Q: Evaluate the double integral given by p2 sinOdrd0 TT JO

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Evaluate the integral by first modifying the form of the integr and then making an appropriate…

A: Integrating the function

Q: coth v csch v dv 0.1

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Q: Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R= x…

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Q: Evaluate the double integral / (a (x² ,2 + 8y) dA, where D is bounded by y = x, y = x°, and x > 0.

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Q: Evaluate the iterated integral by choosing the order of integration. e( 4x In(y) Зy In(x) dy dx

A: We have to compute the double integration

Q: Calculate the double integrals 1. R xedxdy, R-[0,1]X[0,1]

A: To find the below double integral.

Q: evaluate the integral using the Integration by Parts formula with the given choice of u and dv.

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Q: Express the integral in terms of the variable u, but do not evaluate it. In c dr; u = In x rels In c…

A: To determine: where  u = lnx

Q: 3. Compute , xe*ydA where R is the rectangle 0 <x< 1,1< y< 2, using iterated integrals in both…

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Q: 2 4-2y 4x-x dxdy r2y 4x-x dxdy + e e

A: The reverse Order integration is:-

Q: Rewrite the iterated integrals in the order dydzdx 11-z- 1-z SS S f(x,y, z)dxdydz

A: Let's find.

Q: 2. Evaluate the integral by interpreting it in terms of areas. . V25 – x2 dx. .

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4 3 1…

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Q: Evaluate the following double integral by reversing the order of integration: 2 sin (тa*) da dy

A: Given, ∫01∫y12sinπx2dxdywe have to evaluate the given following double integral by reversing the…

Q: Evaluate the triple integral with as little work as possible. ce²+y+z² dz dy dr

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Q: Compute the double integral nx' ydA over the domain D indicated as 0 < x < 3, x < y < 4x +2. (Use…

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Q: 3. Evaluate the integrals by interpreting them in terms of areas a) L(1+ v - ) 22 – x2 ) dx, b) 3

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Q: Evaluate the integrals in Exercises using integration by parts.

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

Q: Write as an iterated double integral with order of integration da dy, and evaluate: 12y-(y-1)° dy dx

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Q: Evaluate the integrals in Exercises using integration by parts

A: Since you have posted more than one question, we answer the first question for you. For the other…

Q: dx (x + 2)3

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Q: Change the order of integration in the following integral /| f(x, y)dydx.

A: To change  The order of integration.

Q: a) Change the order of integration in the iterated integral 1 dydz. 1+ y? Do not evaluate the…

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

Q: Express the iterated integral fo SY² d as a non-iterated (i.e. single) integral in Y/1-y² terms of…

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Q: Calculate the integral of f(x, y) = 10x over the region D bounded above by y = x(2 – x) and below by…

A: We will find out the required value.

Q: Evaluate the integral. (Use C for the constant of integration.) pA In(t) dt * Ince) C must be in…

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Q: 1.5 x² In x dx

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Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e21 In x…

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Q: Evaluate the Integral by changung the order of Integration in an appropriáte way. 4 3 5 Cos (x?) dx…

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Q: write A2 as a double integral over variables (x,y). then evaluate A.

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Q: | 7x2 V2x3 - 1 dx

A: Here the given integration I=∫7x22x3-1dxNow Substitute as2x3-1 =u⇒6x2dx=duThus the integration…

Q: x In(2 + x³) dx

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Q: Evaluate the integral by reversing the order of integration. re* dx dy lo J3y

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Q: Evaluate the double integral of the function over the rectangle : - dA, R= [0,15] × [0, 24] %3D x +…

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Q: Compute the double integral of f(x, y) = x²y over the given shaded domain in the figure. Assume that…

A: The region want to integrate is shown below. Calculate the limits of x and y from the figure.…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

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Q: Compute the double integral of f(x, y) = 45xy over the domain D. D: bounded by x = y and x = y2 45xy…

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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: Evaluate the integral. (Use C for the constant of integration.) 16 In xp (x^ +C

A: Topic:- integration

Q: Evaluate the iterated integral by choosing the order of integration. 1 x + 3y xe* dy dx

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Q: Evaluate the Foll aning integrals a) 32ペ-T Ax b) CSCXXX -1/4 TY3 Sinx よ× /3

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Q: Evaluate the integral by Changing the order uf integration dy de

A: Explanation of the solution is given below...

Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral below. V3x +2 dx

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Q: x+y xydx dz dy Jo

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