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

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

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: 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: 1. Compute the following integrals. (a) dx. (b) 2° sin(x³) dx.

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Q: 11. Evaluate the following integrals. sinx dx 1- cosx dt fxsec' x dr b) a) c) t2 +81

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Q: 6. Evaluate the following integrals: Vx dx a) S 1+ Vx T/2 b) S e2x sin x dx

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Q: 1 de is not an improper integral x +1

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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: 5. Calculate the double integral f, sin(2x) cos(3y) dA , R = [0, 1/2] x [0, 1]

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Q: T 3. fz sin4 y cos7 y dy 2

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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. Find a particular integral for d²y dy dr +4- + 3y = r? dr2

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Q: b) Evaluate the following integrals using tabular integration by parts 1) (3x2 - x + 2)e* dx 2) |…

A: Evaluate the given integrals  1.∫3x2-x+2exdx2.∫x2+x+1sinx dx3.∫8x4cos2x dx using tabular integration…

Q: B- Evaluate the following double integrals: .2 .4 1) | (x+ 3y x²)dy dx

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

Q: Evaluate the following integrals. [e² sec ³ (eª) da 1 2 6 tan¹ x dx I 3 4 √9-w² w² dw pln(4/3) et dt…

A: Given data:- ∫x2dxx2-152, x>1

Q: 8. Depending on the real parameter p and q, what can you say about the result of the following im-…

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Q: Evaluate each of the following partial integrals. 1. 2 co e*sinydxdy 2. (x + 2xy - 3y?)dydx II. 2e…

A: It is partial integral

Q: 14. Find the equivalent integral of * S x(x+1) O-f3dx + f 3d x+1 dx OS÷-1# R x+1 01 Of //dx -…

A: Here we have to apply partial fraction.

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: 1)Calculate the following double integrals. (y + xy-2)dA, where R = {(x, y) E R²/ 0 < x < 2, 1 < y <…

A: Solution:

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) 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: Compute the following integrals. 1 t3 (a) dt. Jo V4+ t² (b) e6x cos (3e2) dx. (Hint: you might need…

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Q: 1) Calculate the following integrals: 1. S (5 +2)“ dz 2. fxe-a*/4 dx 3. S2-YE do x²– + Vx? 4. Sda…

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Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

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: 9. Evaluate the following integrals. Show all work. a) Se"(e* -e* )dx dx b) 13-2x 3-2х c) dx sin 3x…

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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: 1. Set up the following improper integrals by definition. sin(x) dx 22 — За — 4 а. xe dx с. 4 et b.…

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

A: We have to integrate both

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: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: 1. Evaluate the following iterated integrals: (a) S x²y dxdy (b) Lx sin y dydx.

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Q: b) Evaluate the following integrals using tabular integration by parts 1) (3x² – x + 2)e* dx +x + 1)…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: 4. Determine the following indefinite integrals: a) S(2x + 3x -7x2 + x-5) dx %3| b) S(x – 5)² dx g)…

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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 double integral: x+4 sin (y³ – 3y?) dy d.x - x+4

A: Let's find.

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: Evaluate the given integrals. 3x?dx 1. S 2х4-1 2 dx 2. S tan x(5+ln sin x) 3. Seš(6– ei)" dz 1 4. S…

A: according to our guidelines we can answer only three subparts and rest can be reposted thanku.

Q: Compute the following Gaussian integrals. 1. xte-aa2 dx 8. 2. xe-ax dr

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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: 15. Evaluate the integral ſo S, x²y² dy dx (a) directly, (b) integrating with respect to x first and…

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Q: 2 Evaluate the iterated integrals. 2 (x + 3) dy dx 0, 6. y sin x dy dx

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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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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.