x sin x Evaluate the integral dx using residues. (4 + zX)(I + zX)

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A: Using double integral of Cartesian form and polar form.

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Q: sin x+1 dx integralini hesaplayınız. C cos x+1

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Q: Q2- i) Evaluate the following integrate 3 –dx 1+sinx

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Q: Зx? — 2х — 4 A dx using В C | Evaluate the integral x3 – x2 – 4x +4 - 1 x+2 х — - 2 3x2 – 2x – 4 dx…

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Q: y® cos(3y) dy

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Q: 3 2x To find the definite integral dx, apply the basic integration rule. Vx? + 16 Let u x + 16.…

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Q: dx Fa) Evaluate the integral z In(2x) using the substitution u = In(2.x). dx |r In(2ar) +C b)…

A: Topic = Integration

Q: Solve the integral equation y(t) cos t + y(x) cos(t – x)dx %3D

A: The given integral equation yt=cost+∫0tyxcost-xdx can be written as  yt=cost+ytcost Now apply the…

Q: = x2, dv = xe*, and use a substitution to find v from dv. Use C Use integration by parts to find the…

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Q: 4. dx J x Inx VInx2 -1 A C - sec-1 (In xx) + C sec-1 - In x sec-1 (In x) + C + C In x. sec-1 O A В E…

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Q: x'dx use the residual method to calculate the integral (x² +1)(x² +4)

A: Final answer is π/6

Q: Evaluate 1. 2. the integrals: (1-cos²x) 3/² dx Se* sec³ e* dx

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Q: 2x3 + x2 + 4x+ 29 dx. Evaluate the integral: (x² – 2x + 1)(x² + 2x + 9) -

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Q: r5x³ + 5x² + 3x – 3 dx Consider the indefinite integral 1 Then the integrand decomposes into the…

A: Given,

Q: -0∞ x-sin(x) Compute the integral t dx by the Residue Theorem. You must x4+4 show all calculations.

A: The residue theorem defined by,                                  ∮Γf(z) dz = 2πi ∑k=1n Iγ,akResf,ak…

Q: 2.x+5 -dx integralini hesaplayınız. (x-1)(x+2)

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Q: xe (b) Evaluate the integral dx. (1–x)*

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Q: x sin x b) =dx integralini x=T-t 3+sin? x

A: ∫0πxsinx3+sin2xdx

Q: 3 4x dx Evaluate the definite integral J_3 J241 dx

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: (c) Let ɛ be a number so that 1 > e > 0. Explain why the integrals dx, dx x2 -1 can be computed…

A: For (c), Let ε be a number so that 1>ε>0. Now, we will show why ∫ε11x2dx,   ∫-1-ε1x2dx can be…

Q: 3 X dx by Jo logsinx Q3) Evaluate the integral rapezoidal method (use h=1)

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Q: 4 x2 Calculate the integral: dx V64 – x2

A: Consider the integral ∫4x264-x2dx Here, the objective is to find the indefinite integral using…

Q: Q2- i) Evaluate the following integrate 3 dx 1+sinx

A: Since there are multiple question , we solve the first one . Post the other question again. ∫31+sin…

Q: 30x 2. (a) Use a suitable substitution to find | - =dx. V1-2x (b) Use Integration by parts to show…

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Q: dx a) Evaluate the integral / z In(4x) using the substitution u = In(4x). dx x In(4x) +C b) Evaluate…

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Q: Integrals with e Evaluate dx. 1 + e

A: Given- ∫ex1+exdx To evaluate- The above integral. Concept Used- Substitution method can be used to…

Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x+1 Evaluate the improper integral dx. Vx2 +2x

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Q: 3x3-7x+1 dx # 2) Evaluate the integral X-2

A: As you have asked to solve #2) we will solve only #2).The given integral:∫3x3-7x2+1x-2dxWe will…

Q: (1+ x|) sin (x)+ sin(x) 1. The integral |dx is equal to 1+x| а. b. С. d.

A: Integration

Q: 9x -dx. Evaluate the integral J (x² + 1)(2x – 2)

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Q: ii- 2(2 cos y dx – sin y dy) = 0. y(0) (using Integrating Factors) = {) %3D

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Q: dx (a) Evaluate the integral using the substitution x In(4x) u = In(4.x). dx |+C %3D x In(4x) (b)…

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Q: a)!^ 1. Evaluate the integral 4x - 1 (x + 2)(2x − 1) dx. - la

A: As these questions are not interrelated, these are considered as different questions. As per our…

Q: iven that a and b are positive constants with a < b. how how you find the antiderivative and use the…

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Q: Evaluate the integral / (x² +z=3) dr.

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Q: 1-(x-1)? x+ y 2 x + y Evaluate the integral: dy dx

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Q: siny µ(x,y) = ye is an integrating factor of ( - 2e-Xsinx)dx +( cosy+2e Xcosx. -)dy = 0 Select one:…

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Q: H.W // find the integral _1=√15 e-x³².dx. using 7. dx. using two and three points of Gaussian -1.5…

A: In numerical analysis, the Gaussian Quadrature method approximates the definite integral of a…

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Q: OSolve the exaat differential equar x+8xy)dx (4x²+l8y)dy=0

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Q: dx by Q3) Evaluate the integral o togsinx trapezoidal method (use h=1)

A: Given: I=∫03xlogsinxdxby using Trapezoidal Method (h=1)

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A: To evaluate the below indefinite integral