-dz 22 + 4z Use Cauchy's theorem or Cauchy's formula to compute integrals and -dz. 22 + 4 Reme mber to justify that Cauchy's formula/theorem is applicable.

Q: 2 =|_ídl: Calculate eta. --1

A:

Q: Find LOVE LOVE 0 0 [Trysin(x² + y²) dady

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Q: 6.) so +3 dx 2xe+²+

A:

Q: 4 dr. 162? — 16х +13 Use the Table of Integrals in the back of your textbook to evaluate Perform the…

A: Indefinite Integration

Q: Use Residue theorem to evaluate dx - x2- 8x+ 17 00

A:

Q: Choose correct answer for indefiınite integral S 823 – 9x2 + 4x dæ a) 24x2 – 18æ + C b) 24г? — 18г…

A: The indefinite integral ∫8x3-9x2+4xdx. We have to evaluate this integral.

Q: z° + 12z2 dz z6 + 8z3 + 41

A: Solve the integral:  ∫z5+12z2z6+8z3+41dz=16∫dz6+24z3+41z6+8z3+41…

Q: Evaluate each of the following Indefinite and Definite Integrals: a) ₁12x³-9x² + +2 dx

A: The given integral,a) We have to calculate the integral value.Note:Since you have asked multiple…

Q: Use long division to verify that y1 = y2.

A: To use the long division, write the missed terms of the dividend with zero coefficients. Divide the…

Q: he Big Ben clock in London has an hour hand that is 9.0 feet long and a minute hand that is 14 feet…

A: Given that the Big Ben clock in London has an hour hand that is 9.0 feet long and a minute handthat…

Q: 1 Circles

A: To Setup: Integrals for the area of the shaded region in both figures.

Q: S 1 Solve the integral: √√√X = n/1+x²³²|+c A C {/in/1+x²³ | +c B © 6n/5+x²³²|+c C in/1+x³| +c D X +…

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Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

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Q: Define Zero Divisor , Integral Domain. And one example of integral domain.

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Q: Find The integral of The funchion 3172X+1 年2x4! dx 2X+3X41

A: =?

Q: . Use imer product = So for p=1-x²₁ 9 = 2 +2250 plagouda on P3 to compute

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Q: Solve using Bisection and Regula Falsi   e-x-x

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Q: Provide a complex definite integral that has an answer of 20.

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Q: Find the indefinite integral / 162 V1+ 4x*dx A. (1+ 4r*)} +C. B. 4(1+ 4r*) + C. C. 글1+4r1) + C. D.…

A: To find:∫ 16x31+4x4dx

Q: $(8y + x -x)dx + (y + 7x)dy = C (Type an exact answer, using as needed.)

A: Green's Theorem:∮Mdx+Ndy=∬∂N∂x-∂M∂ydx dy

Q: Evaluate the integral fe (2x+4) (x² + 4x + 2) dx n- by making the substitution u = x²+ 4x +2.

A: In the question we have to find the integral of the given function.

Q: Evaluate the integral usir бх? —7х+11 a) 3x -2

A: The handwritten solution of both the questions is given below-

Q: 1. Hewrite fis) h that the mate a iend 43/6-3) 2 le your awer from part tical tes for fia) A-3 ) -3

A: Solution is given below:

Q: Find the rational roots of x* + 8x + 7x-40x- 60= 0. 02,6 О-6, -2 O-2, 6 О-6, 2

A: Given  x4+8x3+7x2-40x-60=0 let, f(x)=x4+8x3+7x2-40x-60 Given that there is at least one and possibly…

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

A:

Q: +00 dx Evaluate the improper integral x(In x)²

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Q: Evaluate by Algebraic Substitution: * 5. S/1+vz dz -(1-v5)(3VE – 2) +c b. (1+ v7)(3V7 + 2) + C 5(1 +…

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Q: 8a + 20x dr. x* + 5x² + 6 Evaluate the definite integral

A: We can evaluate the integral as below.