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

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A: To determine: where  u = lnx

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: Make a substitution to express the integrand as arational function and then evaluate the integral.

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A: We need to evaluate ∫∫9-x2-y2dA and R is the region in first quadrant within the circle x2+y2 = 9 In…

Q: Evaluate the integral using tabular integration by parts. |2 V2r +1 dr = V2 x +1 dx +C

A: First integrate root terms separately as I have done step by step with all explanations...hope now…

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

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Q: Find the anc length oF t1x)=x° on [o,] Hint; use the Integral Tables,

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Q: Evaluate the integral using FTC I.

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Consider the given integration I=∫133xx2+xdx

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Q: 19. Evaluate the integral by changing to spherical coordlihates. Rf xydzolydx

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

A: Question is solved.

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

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Q: Evaluate the integral using lIntegration by Partsisubstitution, or both if necessary. In(In 10x) dx…

A: Rewrite the given integral as shown below: ∫lnln10x10xdx=110·∫lnln10xxdx

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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: Evaluate the integral using integration by parts with the indicated choices of u and dv: -9a In(z)…

A: Given : ∫-9xlnxdx

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

Q: Evaluate the integral using integration by parts with theindicated choices of u and dv .   ∫θ Cos θ…

A: We have to solve the integral using integration by parts: ∫θ cos θ dθ taking u=θ, v=cos θ When two…

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A: From the limits of integration, the region bounded by the curves y=0, y=2-x2, x=0, x=2. The region…

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Q: Evaluate the integral using integration by parts with the indicat xe3x dx; u = x, dv = e3x dx %3D

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Q: EVALUATE THE FOLLOWNG DOUBLE INTEGRAL BY REVERSING THE ORDER OF INTEGRATIC Vx²+! 'dx dy

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Q: 12x CO

A: Given,          ∫512x2cos8xdx

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Q: Evaluate the integral: (In z)6 dz %3D

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A: GivenI = ∫17w2In(w)dwusing by parts u = In(w)        v'=w2

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