Find the integral: J 3sinhæ-5cosha da Select one: a. -글arccos를 + C b. 글arcsec를 +C c. 글aresin를 +C d.-글arctan을 + C с.

Q: Evaluate the integral using FTC I.

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Q: Calculate the integral by making an appropriate variable change Vy – x -dA where R is the triangle…

A: Evaluate the integral ∫∫Ry-x31+y+x dA by making an appropriate variable change, where R is the…

Q: Evaluate the integral ∫1/ √tcos (√t+3)dt

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Q: Evaluate the integral LT :(+y°)etzc>xcy = ?

A: In this question, we have to evaluate the given triple integral. The iterated form of integral is…

Q: Compute the double integral R ye®Y dA where Ris the square -1 < x < 1, 0 < y< 2.

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Q: By making an appropriate change of variables, evaluate the double integral I = (z + y) e v drdy…

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Q: Evaluate the double integral f(r, 0) dA. ' π/2 re dr de

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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 (x2y? +y?z² +x²z²) dzdydx Maximum file s • Files

A: we have to evaluate the integral

Q: Evaluate the integral using FTC I.

A: To find: The definite integral of . Formula used: Power rule of integration: Calculation: The…

Q: Evaluate the integral using FTC I.

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Q: Evaluate the integral using FTC I.

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Q: Evaluate the improper iterated integral. (Give your answer correct to 2 decimal places.) •3 dy dr Jo…

A: L

Q: Verify the Green's Theorem to evaluate the line integral . (2y²dx + 3xdy),

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

A: Given:

Q: Express the integral in terms of the variable u, but do not evaluate In a u= In a In r du %3D

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Q: Compute line integral of F(x,y) = (2x² – 3,₁²³)^² + (2x +34²) ↑ с over the following C F-dr SCF ¾ ç…

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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: What is §3dx, §5du and §e^u dt? Those are integrals

A: a) We factor out 3, then integrate. c=integrating constant

Q: 2. Soru I= Jo z6+1 Jo 26+1 z+7 dz

A: Given Integral : I=∫0∞z+7z6+1dz Poles of f(z) are z=eiπ6, eiπ2,eiπ6 lie within C. We know that :…

Q: Evaluate the improper integral (A) diverges (в B (C) ml+ 2 3 √√2²233/3dx 4

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Q: use a computer algebra system to evaluate the triple iterated integral.

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Q: Compute the integral 2u? du u² – 1

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

Q: Evaluate the integral in terms of u. sinh u• du = + C %3D 3.

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Q: 19. z?e-l/? (a) |z| = 5 %3D

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Q: Find all Integers a so that the area enclosed by the lines y=ax,y=0 and x + 2y-4=0 is a natural…

A: To find: All integers a so that area enclosed by the lines y=ax, y=0, and x + 2y-4=0 is a natural…

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 iterated integral. *T/4 4 - r rz dz dr d0 Jo Jo

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Q: Evaluate the triple iterated integral. LLL Jo π/4 6 6-r rz dz dr de

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Q: Evaluate the integral using FTC I.

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Q: To find the arclength of y = 2x – 3 from = 0 to x = 4, which is the correct integral? OL = V1+ 4x²dx…

A: I have appended the formula used in the solution part.

Q: Integrate f(z) = counterclockwise around the unit circle, usin %3D 28 – 9.7 - Cauchy's integral…

A: Given function is fz=1z8-9.7 and the contour is the unit circle oriented counterclockwise.

Q: Calculate the integral Sa-ydA D where D = {(r, y)|0 < < 2y < 2}. %3D

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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: 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: Rewrite the iterated integrals in the order dzdyda 11-y? 1-y SS Sf(,y, z)dadzdy 0 0

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Q: Evaluate the triple iterated integral. T/2 r cos é dr de dz Jo

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Q: ate the integral by making the giv dt u = 1 – 6t 7: (1 – 6t)*

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Q: evaluate the triple iterated integral.

A: We have given a triple integral;

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

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Q: Evaluate the integral. integral from 0 to 2 and integral from 2 to y2 and integral from 2 to z…

A: ∫xn dx=xn+1n+1+C

Q: Use a computer algebra system to evaluate the iterated integral. V 16 - y2 y dz dx dy V 16 - y2J0

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Q: Evaluate the integral using FTC I.

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Q: Use a computer algebra system to evaluate the iterated integral. V1- y? y dz dx dy -V1- y

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Q: Evaluate the integral by making an appropriate u-substitution an applying any necessary formula(s).…

A: Solution:

Q: Evaluate the iterated integral. SIT stad dy dx dz 5ze

A: Answer and explanation is given below...

Q: Use the substitution formula to evaluate the integral. the integral from 0 to 1 (8y^2-y+1)^-1/3…

A: From the given integral, Let, 8y^2-y+1 = t ----(1)Now differentiating (1), 16y -1 dy = dt32y -2 dy =…

Q: Compute the line integral of f = x? - y, along C:x² + y? = 4 in the first quadrant from (0,0) to…

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

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

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