7. Evaluate the following integrals : COS z (a) - 2 - 1 dz, (b) Ln (z+5) dz, (c) + 27) dz, z + 2 |z|=3 |z|=3 |z|=1

Q: Еxercise: 1- Use the Composite Trapezoidal rule with the indicated values of n to approximate the…

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Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

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Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: 1 Determine the following integrals: ļ (cos2x+ sin x) dx 1.1.1 .1.2 1.1.3 1₁ Jx Xx+1 √√x²+2x+1 dx…

A: Given integrals, 1.1 ∫(cos2x+sinx)dx 1.2. ∫x+1x2+2x+1dx 1.3. ∫eln(3x)+2x+1dx The objective is to…

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

A: a) ∫1e1+ln x2xdxb) ∫-1112x+3dx

Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx (b) S x*Vx5 – 1 dx (e) Í T ds 2s+3 (d)…

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Q: Evaluate the integral. S 20x cos x dx Select one: O A.80 sin. 1 40x cos + C O B.20 sin n1)x+ 40x cos…

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Q: 1. Compute the following integrals. 1 cos 3x dx b) VAr + 7 c) a) dx dx sin x / (In x)3 f) / d) ſ eª…

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Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

Q: х cos 4x dx; и 3D х, dv cos 4x dx =

A: Given that  u = x ;  dv = cos 4x dx and we have to integrate by parts the given integral that is ∫x…

Q: 1 Determine the definite integral of 4 3(Vx) xp (DE + x^)S

A: Let I=∫49x+13xdxApply the Sum Rule:…

Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

Q: 3. Evaluate the iterates integral: SL(x-y) dy dx

A: We have to solve

Q: Evaluate the integrals ∫cos (1 - ln y)/y dy

A: We have to find the integrals: ∫cos1-lnyydy We will find this integrals by substitution method Let…

Q: 2. Set up and evaluate the integral for L»e-² + x) dA where D is the shaded region shown. (1, 2)…

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Q: A. Evaluate the following integrals. 1. S(Vcosx + sin x)*dx 2. S cos³ 3x dx 3. S tans 2x dx

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Q: 5. Evaluate the integrals: a) f(x²-y²)dA where D={(x,y) | -1≤x≤1, -2≤y<2}

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Q: 1. Evaluate the following integrals: SS (6yz - 2y' kixdy, s = [1,4] × [0,3] a. 1 b. ||| sin 2x dxdy,…

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Q: 1) Find the following integrals: a) S dx 3x+1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (2) Compute the following integrals. /4 (a) sin (4r) cos (4.r) dæ. (b) cos(ka)e-lz dx, Hint:…

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Q: 4. Find the following integrals exactly. Show all working. (b) / 2='(1 + z")-1, dx

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Q: 4) Evaluate the following integrals: a) (z² + 1)ey2 dx dz dy , R = [0, y] x [0,24] x [0, ln 12] b) ſ…

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Q: 2 Evaluate the improper integral e2a dx, if exists.

A: Evaluate the improper integral  ∫-∞2 e2x dx

Q: Which of these is a non-elementary integral?" ( In(2y² + 1) -dy 4y A. * cosh(2x) xp. B. +…

A: (a) For, Is non elementary since y is in denominator. (b) For Is non elementary since x is in…

Q: 2. Find the indefinite integral (Scos(4x) + √x dx

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Q: 5. Evaluate the iterated integrals. a. b. [²³² (x+y)dx dy S S S xyz dx dy dz

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Q: 15. Evaluate the following integrals: (b) , Tax+1)3/2 (c) f, (8)05xdx. 30 8 dx (a) J 7x+5)1/3 ' -dx,

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Q: 2. Evaluate the following integrals. (a) J sin° (2) dæ 3x2 + 2x + 7 (b) dx x² + 1

A: We have to solve the given integral.

Q: 4. Evaluate the following integrals. 3 е. X- 2x +2 dx 4x 1

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 1. Compute the following integrals. (a) dx. (b) x³ sin(æ³) dx.

A: We have to integrate both

Q: 9. Compute each of the following double integrals over the indicated rectangles. (2r +3y) dA, R=0,1)…

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Q: Determine the following particular integrals: -{3x²e-x} 2.1 2.2 1 D² + D-1 1 D² - D+2 {8 sin x cos…

A: To Determine: the following particular integrals:   2.1 1D2+D-13 x2 e-x 2.2  1D2-D+28 sinx cosx

Q: 9. Evaluate the following integrals а. se cx b. CO s x + co s(8z) – iz 3 -4x с. dr x? +1 -

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Q: 2. Evaluate the following integrals. et a. (e2 +3)Ve2 – 16e-2" + 6

A: Solution

Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: z'e? dz

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Q: 3 5. Evaluate the iterated integral: S x(x² + y)'/² dx dy.

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Q: 2. Calculate the following transcendental integrals: a) S² exee* dx X b) S (x²+1)In (x²+1) dx cos…

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Q: Evaluate the iterated integral. In 3 In 4 e 4x +y dy dx 0. 1.

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Q: Which one of the following double integrals is equivalent to the integral 2x-x2 Vx2 + y2 dy dx? 0.…

A: The integral in Cartesian coordinates is : We first try to look at the region of integration here:…

Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: (2) Compute the following integrals. *T/4 (a) ) sin (4r) cos (4xr) dar. (b) / cos(kx)e l dx, Hint:…

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Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: 3. Find the following integrals. dx S- a. +a?

A: Explanation of the solution is given below...

Q: 3. Find following integrals using method of substitution: Sze z dz a. 2 x2 b. S /1+x

A: Consider the provided integral, ∫ze-z22dz Find the expression for this integral using substitution.…

Q: Answer 1 only. Upvote if it is typewritten.

A: We have to find the integral

Q: 5. Evaluate the following integrals 3 sin #Z dz, c 1z-il=2 24 -4 ans: 3 co shz

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Q: A. B. Evaluate the following integrals using substitution method: (³-1) ²/3 √2 5.² 0 √r sin (1 + x²)…

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