Use the value of the first integral I to evaluate the two given integrals. 3 9 4 3 (8х-2x3) dx b. J (ax -x*) dx a. 3

Q: Evaluate using integration by parts. .6 In (x)dx 6 In (x)dx =| 1 (Type an exact answer.)

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Q: The value of the integral is equal to: Select one: O 4 O с صرا من م من ته 3 x ²² (4x - 4y) dy dx

A: The given integral is: I=∫01∫0x4x-4ydydx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: II. Evaluate the following integrals: 4 1 dx ½2x+ 7 2 1 4. 5. 6. 4-5x -dx-

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Q: 3. (5 marks) Evaluate the integral I = dx. Hint: If you need to evaluate fe da, don't! Try a…

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Q: 7/2 2. Is cot x dx an improper integral? Explain.

A: Given integral is not an improper integral.

Q: Q2:A/ Evaluate the integrals 1 sec²(eVx + 1) dx J Vxe-V

A: Given: ∫1xe-xsec2ex+1dx Consider, u=ex+1, du=ddxex+1=ex+1ddxx+1=ex+12xdx

Q: 3. 'Evaluate the integral. 5 dx х0.2

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Q: 2.) Evalvate the Integral ودل أاد-ل (x² _33² dx, .3 2 by making w - x²-3 NOTE: Answer should be in…

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Q: Q I find integrals 3-2X 2 +4X dx

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Q: 2 c2 Reverse order and evaluate the integral S, 2y2 sin(xy) dydx

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Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: Evaluate the integral: S sinhxcosh(-x)dx Select one: 2cosh2z a. +C 5 b. h 3cosh2z + C sinh2z +C 4 C.…

A: Given:  Let I=∫sinh x cosh-x dx  To Find: To evaluate the given integral.

Q: To apply the integral test for 3n2 + 1 n3 +n n=1 we evaluate the improper integral 0 3x2 + 1 dx. x3…

A: Solve the following

Q: Choose the most appropriate answer: Evaluate the integral : J(e- 182 + sin 11x) dx -18x e + cosll +C…

A: We need to evaluate the following integral : ∫e-18x + sin11xdx

Q: Use the value of the first integral I to evaluate the two given integrals. 3 | - 27 (x3 - 6x) dx =…

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Q: 21 Which of the following integrals is equal to the integral | s(3x - 5) dx? (A zp (2)/ 7/3 (B) s(:)…

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Q: Q2/Evaluate the integral: -1.57 9-x2 dy dx by changing the order of integration.

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 3 I [(e* +x² + A\dx Дх 3 0,25 1

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Q: 2) Evaluate the integral. T/2 L cot³x dx

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Q: Evaluate the iterated integral. 4 5 6 (x² + y² + z²) dx dy dz -4 0 0 5 6 (x + y? + 2? )dx dy dz = i…

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Q: 6) Evaluate the improper integrals ∞ 5 a) 5² (+ + e-") dx s (-x) е 2 7 5 b) ² = 8 dx 4x-8 2

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Q: Which of the following integration expression can be transformed into integral of power Ju"du),…

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Q: 11. While using Trapezoidal rule to evaluate the approximate value of an integral, if a=6,b=8,h=02,…

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Q: Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

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Q: 4. Use residues to evaluate the improper integral 1t r4 a + x2 dx; where a is a real constant.

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Q: 12 Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the exact…

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Q: Q2/Evaluate the integral: 1.57 9-x2 dy dx x, by changing the order of integration.

A: The integration order can be changed by changing the inner integral to outer and outer integral to…

Q: Q/Evalute the integrals Vin3 dx dy 973 3. サーメ 2) dz dy dx 1 1-x 1 3.

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Q: Suppose you want to evaluate the indefinite integral 2x2020 da using integration by parts. Which…

A: We will apply integration by parts formula by choosing appropriate functions as u and v.

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

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Q: 6. Change the order of integration and evaluate the integral (**2y+1 dxdy. r+1

A: ∫01∫0y+4 (2y +1)dxdy/(x +1) now change the order of integration ∫0y+4∫01(2y +1)dydx/(x +1) ∫0y+4[(y2…

Q: 2 dydx -23-1 (xy)³ SS.

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Q: (3) Evaluate the iterated integral , " (3 + x² +v²) dx dy.

A: First integrating with respect to x and then with y

Q: 6 r5 So f5x dy dx X 1

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Q: 2. Use symmetry to evaluate the given integrals. -200 A) S, 2x5 dx -200 В) cos х -п/4 B) S"/ cOS x…

A: A) ∫-2002002x5 dxB) ∫-π4π4 cos x dx

Q: 6 6 iwen ["r*dz = 320, x³ dx x dx 16, dx = 4, evaluate the following using properties of definite…

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Q: Solve the problem. Rewrite the integral 5(1 - z/6) 2(1- y/5 - z/6) dx dy dz in the order dz dy dx.

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Q: 10х> — 5х For the integral -dx , if u = x*-x2+6 then Mdu = (10x³-5x)dx, what is %3D x4-x²+6 M?

A: We have integral ∫10x3-5xx4-x2+6dxifu=x4-x2+6

Q: Q2/ Evaluate the integral: 1.57 9-х2 dy dx X. by changing the order of integration.

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Q: (a) Use integration by parts to evaluate T/4 | 0 sin(20) dð . (b) Use the substitution u = 1+ x to…

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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: Q1). Evaluate the following integrals. (Answer Five only). 1 1. J dx V9x2-81 2. S (4x3 + 2x2)…

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Q: Evaluate the iterated integral. 7 2x x-2 dz dy dx -4 0 y 7 2x x-2 dz dy dx = (Simplify your answer.)…

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Q: Evaluate the given integral. 1 a) dx ² +x – 2 3 b) dr 3 – 9x2

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Q: 5. Evaluate the definite integral (1+lnx)² dx а. 1 dx. b. -1 2x+3

A: Explanation of the answer is as follows

Q: Q1\ Evaluate the integrals: 10 A. S- V16+x2 В. Г(3 — 2х)-5 dx

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Q: Q.4 Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx

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Q: y Evaluate the integral -dx using х3 — х? — 4х +4 X-1 x +2 x - 2 Зx? — 2х — 4 dx = J x – x² – 4x +4…

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Q: = "+1 + C. 2. The power rule for integrals is x" dx a. Evaluate f da = fx2dx. n+1* 1 b. What goes…

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 "s(:) dz 3 -2 2p (2)f…

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