sechudu 7 2tan e" + C = tan (sinhu)+C

Q: c.rechudu = 2 tan -I eu tc C. %3D

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Q: 1 = S I .3 x³ sin(2x) (x² + 1)² -dx.

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Q: chapter

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Q: ly √18-y² √x² + y ² dx dy

A: By changing into polar coordinates put x=rcos θ, y=rsin θ and dxdy=rdrdθ…

Q: –2πίαξ e (1+x²)² 50% dx = (1+2π||)e-27§|¸

A: The function is f(x)=e-2πixξ1+x22 The function has poles where 1+x2=0x2=-1x=i,-i These are poles of…

Q: Find the integrals using complex analysis x' +1

A: "Hey, thanks for the question. Since there are multiple questions posted, we will solve the first…

Q: Duf(3, -1) = 1 10 2 5 ≈ 0.07.

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Q: 8 X COS X x2 − 5+6 -dx.

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Q: Problems For Problems 1-14, determine whether the given set S of vectors is closed under addition…

A: Here , S=Q, set of all rational numbers. We check whether the set Q is closed under addition i.e. we…

Q: 4x³ (1 - 4x²) 1²/1 2 S- -dx

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Q: Integrate by substitution: 2e dx 5e2a+1

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Q: I = c2π sin² 0 0 5 + 3 cos 0 dᎾ .

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Q: Find all point of discontinuityz is a complex variable, z=x+iyf(z)=(1/z)-sec(z)

A: To analyze the behaviour of the given function of the complex variable z.

Q: Use canine friendly methods to compute the integral da. Vz(1-2)

A: Let I be given byI=∫01x4x1-xdxlet C be the classical dog bone contour around [0,1] in the complex…

Q: Sin (x-t) u(t) dt = 1- Cos x

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Q: Can

A: We use Cauchy's Residue Theorem

Q: Calculate the imaginary part of  ∮C(Re(z)+3.78)(2z^2+ 5z+ 13 / z)dz  where C:|z|=1  Use FOUR…

A: We have to find the imaginary part of the integral ∮ fzdz, where fz=Rez+3.782z2+5z+13z over the…

Q: How do I parametrize to get r1(x) and r2(x).

A: The region is R=x, y: 0≤y≤x2-x. The equation of parabola is obtained as…

Q: rcos (y) dA, R= [-2, 3] × [0, ]. Evaluate R

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Q: method

A: We use Cauchy's Residue theorem.

Q: 3 sin°co dx COSCX)

A: Integration

Q: Evaluate 9 €₂ N d da (2-1) (2³8) ²

A: Using,  Cauchy integral theorem we can solve above integral.

Q: Evaluate the integral [] exp(-5x² − 2xy − 5y² + x)dxdy R2

A: The rule for a Normal density function is fx,μ,σ2=12πσ2e-x-μ22σ2 where the mean of the distribution…

Q: Let F be the vector field F(x,y, z) yzi + xzj + xyk and C the ellipse given by r(t) = 5 cos t i+…

A: Given vector field: Fx,y,z=yz i+xz j+xy k The ellipse C is given by: rt=5costi+3+2sintj…

Q: Graph ane polynomial yang and behavior and start the end behavion f(x)=x²-x²³²-4x²+4

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Q: Q3/ by using De Moivre's theorem find the third roots of 23 – 1 = iV3

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Q: Consider the integral eguation 1/(1-3xt)U(O dt. Resolvent kernal U(x) Evaluate the by iterated…

A: The given integral equation is, u(x)=1+λ∫01(1-3xt)u(t) dt

Q: 19.15. Prove that exp(z*) is not analytic anywhere.

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Q: 1+e* dx X- e-t

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Q: leve and ge) are function flx) orthogonal in the intervalLab] condlition. called 4 they Isatiyy the…

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Q: 1. In the plane, let D be a simply-connected region whose boundary OD is a piecewise C1, simple,…

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Q: What is the value of the contour integral of a complex function over a closed curve?

A: The value of the contour integral of a complex function over a closed curve is zero if the function…