6. Compute the following integrals using Residue Theorem. 5z - 2 b. dz a. √21-23 = dz · Soz (²-2) 4 ( |2|=2 ²(z − 1) dz, where, C : |z − 2| = 1.

Q: 3. Evaluate the following integrals. •√a-r² (b) f ₁-² ¹-² dzdydx fo

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Q: 3. Evaluate the definite integral (a) (b) (c) (d) 256 15 15 256 Cr 62 f(x+ (x+2)√x+1 dx.

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Q: Suppose that [ f(a)da = 7, and b) ²9(2 g(x) dx = 29, compute the following integrals: 5 S* 158 (2) -…

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Q: Q.1- Evaluate the following integrals (answer two only) a -1° V√x - √x₁ dx 0

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Q: √√2x-x² 7. Express the integral [²√√√²* A. B. C. D. E. •2π cos [²* " ["zrdz dr de = 1/2 fzr dz dr de…

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Q: 6. Evaluate the following real integrals by residue theorem 3 • I = S ans: 2π (a-√a²1) I = J ∞ 27 2…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: Determine the integral J I = 6 x√√x²+4 dx. 1. ln ° ¹. 1 = − 3 lm | √²² + 4 + 2 | + 0 x 1 2. I = In ®…

A: To evaluate the given integral

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: Approximate F(x) throughout the given interval. F(x) = 6° e t/²dt, [0, 1] a. Use the first 3…

A: Given :-  The appropriate Fx throughout the given interval. F x  = ∫0x e-t22 dt  ,  0 , 1 To…

Q: Compute the indefinite integral of the following function. 1 r(t) = 13 i + j+ In 21t k 8 +7t Select…

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Q: 6 Evaluate the following indefinite integrals. a) f(xx²- csex.cot x) dx 3 S(√x³+√³x² - 10) dx X 4)…

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Q: 4. Evaluate each definite integral using the Fundamental Theorem of Calculus. (c) / (cos r – V3sin…

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Q: The velocity function is v(t) = −t² + 5t − 4 for a particle moving along a line. Find the…

A: As per the Bartleby guideline only one question is allowed to solve if multiple question is asked in…

Q: that you you used to det divergence. 3 n (1). E n5+3 n=1 (1). Σ n 2" n=1

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Q: Evaluate the definite integral and find exact values. Do not give decimal answers. • 12 t² In(t³ +…

A: To solve the following integral using substitution

Q: 5. Express 0 lim E (5x2 – 9x +16)Ax;[ – 8,4] as a definite integral. L (5x – 9)dx b. l' (10x – 9)dx…

A: The given sum is lim∆→0 ∑k=1n5x2-9x+16∆x; -8, 4. The given limit can be expressed as the integral of…

Q: 6.Use a Taylor polynomial of order 2 to approximate the result of the following integral: 2 |(e2x-1…

A: We have to approximate given Integral.

Q: Evaluate the definite integral [ 3.³ - 3x³-5x-1 x -dx.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Evaluate the following integrals (a) [2r³ - 2x³ + 3x - 2 dx (b) [ 3x² + √x √I dx (c) √ ¹ t² (√t -…

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Q: 6. Which substitution can work to compute for the indefinite integral fx√√x + 5dx? A. u=x C. u=x+5…

A: we use substitution method to  find the value of integral