Calculate the following integrals. In both cases the curve C has a counterclockwise direction: 4.1 ∲c (z + cos(πz)) / z(z2 + 1) dz with C : |z - i| = 3/2.

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Q: 3 2(x²+1)7 Write down an integral that gives the ARCLENGTH of y on the interval from x = 0 to x = 2…

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Q: :+cos(x2) dz. =(s* + 1) 4.1 with C: |z- il -. 4.2

A: Explanation of the answer is as follows

Q: Calculate the following integrals. In both cases the curve C has a counterclockwise direc- tion: 4.2…

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Q: Set up the integral to find the length of the curve f(x) = V1 – 2? for 1/v2 <x < 1.

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Q: Calculate the following definite integrals. -1/2 1 dx "dx dt (t+2)³

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Q: Suppose a strange particle travels with a velocity (m/sec) of v(t) = , where t is the time it has…

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Q: Calculate the integral approximations T6 and M6 for ∫sec^2x dx [0,pi/7]

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Q: Find the total differential of the following: 1. f(x, y,z) =-tan'(x + y +z)+ In(xyz)

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Q: Calculate the following integrals. In both cases the curve C has a counterclockwise direc- tion: 4.1…

A: We will find the integral by using Cauchy Residue theorem:

Q: (b) Suppose f(t) = rect(t) and g(t) = u(-t). Using the convolution integral, derive an expression…

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Q: Compute the indefinite integral of the following function. r(t) = (13 cost,7 cos 5t,3 sin 6t)

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Q: Estimate the following definite integrals using the trapezium rule with six strips: 0.6 (a) Vx3 +1…

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Q: Evaluate the following integral in cylindrical coordinates. 2 14-x x2 + y2 - 1/2 dz dy dx 0 0

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Q: Find the approximations   T 8  and    M 8    for the integral integral 0 to 1 cos (x 2   ) dx

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Q: 2 | (8 + 4 cos 2) dæ

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Q: 1. Evaluate the following integral: (6 + 3 cos x) dx a. Analytically b. single application of the…

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Q: Evaluate the line integral along the curve C. (3x² + y²) dx + 2xydy, C: x = cos f, y = sin 1, 0≤1≤ 2…

A: Given integral is ∫C3x2+y2dx+2xydy , where curve C:x=cos(t), y=sin(t), 0≤t≤π2 We need to find the…

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Q: 1. Approximate the following integrals using the Trapezoidal rule. c0.5 a. dx 1.5 x Inx dx c. 2x dx

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Q: Evaluate the following integral: f*(1-e²³)dx a. Analytically b. Trapezoidal rule c. Composite…

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Q: and evaluate the Sketch integral reverse 9/x Jy dz

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