11. / tan -" y dy - /sin-" y dy y dy 12.

Q: Evaluate the integral: ² ls teu du ds dt 0

A: We need to evaluate the following triple integral ∫12∫tt2∫0lnsteudu ds dt

Q: Evaluate the integral by changing the order of integration in an appropriate way. x sin z dz dy dx z

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Q: / 1 – x2 dx (c)

A: Given I = ∫1-x2x3dx    ......... (1) Integration by parts ∫u(x).v(x)dx = u(x)∫v(x)dx…

Q: Evaluate the integral using tabular integration by parts. 7 x° V2 x + 1 dx 36 (2i al + 9 =') +cX

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Q: dy 1+ sin 4y

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Q: Evaluate the integrals in Exercises using integration by parts

A: We know that, Integration by Parts is a special method of integration that is often useful when two…

Q: What change of variables is suggested by an integral containing Vx? + 36?

A: For, an integral containing  x2+36 we can change variable by substituting, x=6tanθ, As it will get…

Q: Evaluate the integral using integration by parts where possible. r In(8r)dx

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Q: Evaluate the integral using tabular integration by parts. 7 x V2 x + 1 dx

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Q: In ly-y-cf dy

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Q: Evaluate the double integral by reversing the order of integration 37 sin(ræ*) dædy

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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: ate the integral. S sinx

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Q: 1. Sx tan?x dx

A: topic - integration by parts

Q: Evaluate the integral using integration by parts. 3x cos (5x) dx Se 3х cos (5x) dx =

A: Let u=cos(5x) and dv=e^(3x)dxFind du and v from those.

Q: Evaluate the integration: r sin(20)drd0 Over the area in the first quadrant bounded between two…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral In(æ) dz…

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Q: Evaluate the integral using integration by parts 2x e 5x

A: I=∫uv.dv=u∫vdv-∫du∫vdv where u is first function and v is second function

Q: Evaluate the integral using Integration by Parts. | 2z? cos 5z dz

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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: S. v cos (x*) dx dy

A:

Q: x sec (3x) tan (3x)dx

A: The given integral is ∫xsec3xtan3xdx. We know the integration by parts formula:…

Q: V3 2 dy 1- у?

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Q: Estimate the integral of f(x)=sin(x)/x between 0 and 1 using Trapezoidal Rule with h=0.05.

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Q: Use an appropriate change of variable to evaluate the double integral: cos dA, R where Ris in the…

A: Given integral is  ∫∫Rcos(y-xy+x)dAR is the region bounded by x+y=1 ,x+y=2 in the first quadrant.

Q: ST cos(x²) dxdy Jo

A:

Q: Evaluate the integrals using integration by parts. ∫sin-1 y dy

A: Evaluate: ∫sin-1ydy

Q: x2 b) dx Væ³ + 1

A:

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

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 2. J cos x In (sin x)dx

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Q: z+6 dz Evaluate the integral using integration by parts technique :

A: We have to evaluate the integral by parts technique∫03xx+63dx.

Q: Solve the equation by Cauchy's integral theorem. 1- dz 2- . 2z(4– z)dz

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: Evaluate the integral. (Use C for the constant of integration.) 19z3e? dz

A: Explanation of the answer is as follows

Q: Evaluate the integrals in Exercises using integration by parts

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: sin Bt 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: Evaluate the integral using Integration by Parts. 2z2 cos 5z dz

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Q: Evaluate the integrals using integration by parts. ∫t2 cos t dt

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Q: 1. Estimate the integral using Trapezoidal approximation rule with n=4: 2 + t)dt

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Q: Find the integrals using integration by parts. b. [ Vx In /xdx

A: Consider the given: ∫xlnxdxIntegration by parts:∫udv=uv−∫vdu

Q: Evaluate the integral by reversing the order of integration.

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

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Q: 2. Estimate the integral using Simpson's approximation rule with n=4: sin t dt

A: To estimate:∫0πsint dtn=4

Q: (12) Sz sec¹z dz.

A:

Q: Evaluate the integral using tabular integration by parts. 2 x° V2 x +1 dx

A: We have to solve using tabular by parts

Q: Evaluate the double integral by reversing the order of integration y* sin(ry²) dydx

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Q: Evaluate the integral using tabular integration by parts. 5 x° V /2 x + 1 dx +C

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Q: 3. x+1 dx

A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t.…