2. * S 4 (;- e-²) cos (e-2 + Inz) dz 4 sin (e-z + In z) + C A C sin (e-Z + In z) + C B 4 sin (; - e-") + c sin (- e-") + C O A В C E None of the Above

Q: (a) cos(iz) = cos(iz) (b) sin(iz) = sin (iz) for all z; if and only if z = nлi (n = 0, +1, +2, ...).

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Q: find the valups of 'a'and b' that nakes 8x2+ 8 x2+ +5 X L-1 K(x)== 6 x= -1 con tinuous at x =-| x 7-…

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Q: Which function has the same graph as y= 4 cos y = 4 sin x+7 ) y = 4 sin 3 y = 4 sin X- y = 4 sin

A:

Q: 11) fx-In x dx In x- 2 4 (ans. : -+c) 12) fx- tan'x dx (ans. : 2 -tan"l x -(x- tan"" x)+c) 2 13) fx'…

A: 11.Given,∫x.In x dx

Q: One of the following statements is False. Is it a, b, c, or d?

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Q: QuestionTO cos( z+ Da sin(e-2+ In(z)) + C 4 Ob. -4 sin(e-z+ In(z)) + C Oc. --- sin(e-z+ In(z)) + C 4…

A: Given query is to evaluate the integral.

Q: | cos 3xdx=

A: The given integral is ∫cos3x dx. Let u=3x. Then du=3 dx.

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A:

Q: |(5e" + 5x4 =. + 9 cos x)dx 5et + x + 9 sin x + c 5ea + x + 9 cos x + c 5e + x³ – 9 sin x + c O et –…

A: Need to find integration

Q: 1. Зл 2 π 2 cos² 4x dx

A:

Q: (8) SIF (~) 1 Cos 24 (4) dr. X³41 X(x-1)³ X3 da.

A:

Q: valuate the integral using U-substitution x dx (7x2+3)5 1) S A)-(7x²+3)-6+ C C)-(7x² + 3)-4+ C…

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Q: Evaluate cos x + 2 cos³ x + 1 dx cos' x cos4 x 7 +x + c 2 sin7 x sint x +x + c cos x +x + c 3. cos X…

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Q: (4e + 10z-3 sin r)dr =. O 4ez + x10-3 cos T + c O 4e + x +3 sin a + c O 4e* + x10-3 sin r + c | O…

A:

Q: er +6 近 。 Oe) sin(2a) Od) cos(2x) T SOƆ 7 5 Ob cos(x²) + 2x (,r)so) (e O ap UIS .2 hip If y =…

A: Topic :- Derivative Correct option = C

Q: 23. fx² sin 2x dx is a. b. x² cos 2x -x sin 2x-cos 2x + C x² cos 2x -x sin 2x + cos2x + C -x² cos 2x…

A: Given problem:-  ∫x2 sin(2x) dx

Q: 8t Lle sin 5t cos 5t] = O a. S-8 2 (s – 8) + 100 O b. (s - 8)+ 100 OC. 1 2 (s-8) +100 d. O d. No…

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Q: 3e" + 3x + 10 cos x + 2)dx .2

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Q: If x= cos n + cos 2n and y=sin n + sin 2n show that  2xy= sin 2n+2sin 3n+sin 4n

A: See the attachment

Q: (5е? + 9* — 8 sin x)dx - 8 sin æ) de O 5e* + x° – 8 cosx + c x° - 8 cos x + c О Бе + x —— 8 sin x +…

A: Solving the problem by doing the integration.

Q: 23 42 R 1 y=2 sinx 2 y = Which equation is represented by the graph? sin 2x 2 1 y-sin 2.r = 2x 1…

A: we need to find the equation of the graph

Q: (1+iV3)" + (1– iV3)" = пл 2n+' Cos(- 3 2" Sin(- 3 (1 – (iV3))2n 2" Cos(- 3 00 2n+ Sin( 3

A:

Q: Sæ³ cos(x*) dæ =

A: We solve it by u part method , ∫x3cosx4dx Let u = x4 Differentiate both side , we get   du = 4x3dx…

Q: 1 – - 1 + z" If z = tan show that cos a =

A: Given: z=tan α2To prove that cos α=1-z21+z2

Q: (5e + 4r +4 cos z)dr = O e – r + cos z +c O e +r - 4 sin z +c O 5e + r - 4 sin z +c O 5e* + x +…

A: The given integral is: ∫(5ex+4x3+4cos x)dx

Q: If 1, = |x" sin8x dx , Then 64 I,+n(n-1) I,-2 Select one: O- 8x" cos8x +n x" 7 sin8x O + 8x" cos8x…

A: Given :  In=∫xnsin8xdx                1 Using Integration by parts…

Q: Find L{10) } s(s²+16) 1+cos(4t) 16 1-cos(4t) 4. 1-cos(4t) 16 1+sin(4t) 4 1-sin(4t) 16

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Q: Q2) A Differentiate the following ( 1)y= [(5x) (4- 2x)]²

A: As per bartleby guidelines we only give first question answers.

Q: Step by step

A: We will need integration by parts for this problem. So we assume u and dv then find du and v

Q: Fill in the blanks: 1. If tan z = 2.5 then tan(-x) = 2. If sin x = 0.1 then sin(-x) = 3. If cos x =…

A: 1. tanx = 2.52. sinx = 0.13. cosx = 0.8 To determine: The values of tan-x, sin-x and cos-x for (1),…

Q: QI: Choose the correct answer 1) f(3e*r - 6 sin(3x) + 10cse (2x)) dx = A)e - 2 cos(3x) + 5tan(2r) +C…

A: