2+2i What is the value of the-integral·I = S(z2 – 1)dz?1 1+i

Q: 1 e-r/2 dx = 1. (2m

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

Q: 1/b [(x2+a}*/>] 5x The resulting integral of J x3+x²+4x+4 dx is In + e Tan-1+ C where a, b, d, and e…

A: The given integral is ∫5xx3+x2+4x+4dx rewrite the integral as…

Q: + 2x? – 27x – 15 dx Consider the indefinite integral 9. Then the integrand decomposes into the form…

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Q: f complex integration, evaluate the integral o f(z) dz,

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Q: 3 I (4-x²) dx let 2 write the integral by using Beta function .a 1 3 8 B 2'2 .b 8 B 2'2 .C B 2 2 .d…

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Q: - 23 L f(2)dx = 11 - 82 and - 23 L g(z)dæ = 30 82 and – 23 h(x)dx = 25 - 82 | what does the…

A: Given ∫-82-23Fxdx=1 -1          ∫-82-23gxdx=30-2          ∫-82-23hxdx=25-3We find…

Q: evaluate the integral by following the steps given.

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Q: Q: 2. using the technique of integration by parts evaluate the integral of the product of function…

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Q: 2r2 + 2x + 11 dz J (2r + 3)(22 + 4)

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Q: calculating the integral Ax) dx, where Ax) = 1 3x – 2, x2. *. x<2 2, x<2 we get the number. Choose…

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Q: Use substitution to find the indefinite integral. S(1- e 241-17e dt 34t- 17t2 dt ) e Describe the…

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Q: r² + 8x + 13 dx (r + 4)² 23

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Q: i. Secost sin t dt j. S(1 + tan t)3 sec? t dt

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Q: S (sin'x-sinx-x' sin* x+x²sin x) dx ? :-x° sin* x + x² sin x) dx ? What is the value of the…

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Q: x-2 3. Evaluate the integral S (t3 In t i + 3t³ sin (t*) j+ x(x+1) k) dt.

A: Integration: - Integration is the process of finding the anti-derivative function of the given…

Q: che general indefinité Thtegrai. | (81? - 6t-2) dt luate the definite integral. 6. (8t3 - 6t-2) dt

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Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

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Q: b2 a? Use the rules for definite integration and the formulasĮ cdx = c(b - a) for any constant c and…

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Q: Q2/ Evaluate the integral , te-2t dt

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Q: dz Evaluate the integral 22 Iz-1=2 2i

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Q: 32 A f(z)dr = 6 -72 and 32 g(x)dx 26 72 and -32 / h(x)dx = 22 72 what does the following integral…

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Q: What technique of integration can be used to find the integral of f(x) = 6x² cos(x³ + 1)? a.…

A: Given function  fx=6x2cosx3+1 Put  x3+1=u3x2dx=du

Q: Using a Table of Integrals with the appropriate substitution, find + 5e" dx e2 - 100 se3x + 6e2x…

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Q: Evaluale the integral (i+2) sinz 23 dr. dz, where C: 12) =1, by any two methods and compare the…

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Q: Is this correct?

A: To find the indefinite integral by using substitution.

Q: z? +2z+3 -dz Evaluate the integral (z-6)(z² +4)*

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Q: Question: * Using integration by parts, integrate S In 5x dx A. xln 5x – x+ c с. 5xInx - х+ с в. х?…

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Q: Evaluate the double integral.   ⌠⌠5xy2 dA,    D is enclosed by x = 0 and x =4 − y2  ⌡ ⌡D

A: To evaluate the integral ∫∫D5xy2dA first we have to consider the figure of the region enclosed…

Q: -. Express lin (we (2 4 ) - 2 (2 + 2)) 2 2+ as a definite integral, f sec n→∞ N i=1

A: Given  limn→∞3n∑i=1nsec2+3in-22+3in

Q: x² to compute the integral x· V1 – x4 dx. [Hint: the Use the substitution u = FTC is great, but not…

A: Given integral, ∫01x 1-x4 dx

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: 17. Derive Simpson's three-eight rule for the numerical integration and using this rule calculate…

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Q: •3 4 - dx 2x ... Evaluate the given definite integral using appropriate substitution: A 8ln(5/3) B)…

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Q: √√√x ²-1 d For the integral What is the re-write of this integral? Ⓒ / - A z² dz 2(z² + 1) B…

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Q: x1/2 S dx and using the substitution = x 1/2, the resulting integral takes the form: x-x³ U A / du U…

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Q: sin20 B)Evaluate the integrals: i) f/2 inzerdrde, ii) ¹/2 ¹/² finx ₂² siny dz dy dx . 0

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

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Q: 3x2 + 5x + 123 A Вх + С (x – 2)(x² + 25) х — 2 x2 + 25 A = В - C = Now evaluate the indefinite…

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Q: V9 – x² -dx 10x2 | Evaluate the integral: (A) Which trig substitution is correct for this integral?…

A: Given integral is  I=∫9-x210x2dx

Q: d.r (3x + 1)3

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Q: 3 Given that / et dx = e3 - e, use the properties of integrals and this result to evaluate (4ex - 5)…

A: To find the integral by using the given results.

Q: (2– sec?x) eln (xle) sec(3A – x) 'sec³x What should be the value of A for to be integrable using the…

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Q: -. The integral x+1 dx can be evaluated using the substitution u = x'+ ax +1 once. Determine a and…

A: Given : ∫x2+1x3+ax+1dx

Q: 5- I = x.e*dx Divide the integral into 5 equal parts (n=5) and obtain the numerical integral with…

A: Introduction: The Trapezoidal rule and the multiple Simson's rules are very significant in…

Q: Integration techniques Use the methods introduced evaluate the following integrals.

A: The given integral can be rewritten as shown below: ∫-32-114x2+12+10dx=∫-32-114x2+22dx

Q: The double integral 2л 1 dr d0, 0.

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Q: r6x³ + 3x² 51х — 30 dx Consider the indefinite integral 9 Then the integrand decomposes into the…

A: First  make the numinator in terms of denominator then find the value of a, b, c, d and the…