d Select one: æ(sin=! æ)* 3x + 2 sin- x 3x x(sin x) -1 + 2(sin-1 x)? 1-a2 x² (sin-1 æ) 3(sin1 x) + 2x V1-x² -1 3x (sin x) x(sin x) + 2(sin x)? 1-x?

Q: Evaluate / 4 x cos(x)dx Ox sin(x) – 4 cos(x) + c 04 sin(x) + 4 x cos(x) + c 04 (x sin(x) + cos(x)) +…

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Q: a) By expanding sin(2x+x) using double angle formulae, show that and sin 3x = 3 sin xr-4sin x.…

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Q: 00 How were sin(x) = [° (−1)²₂2k+1₁ -X these values generated from k=0 (2k+1)! (1) (0) n=0 n!

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Q: What is the particular solution of the function 2²e%z sin 3x? O (Aæ² + Ba + C) cos 3z + (Ea² + Fx +…

A: NOTE: Refresh your page if you can't see any equations. . now consider only   for that, the…

Q: 63. First, observe sin 4x = 2 sin 2x cos 2x = 2 sin 2.x(1 – 2 sin? x) = 2 sin 2x – 4 sin 2x sin² x =…

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Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

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Q: 3. The value of A. B. C. D. [xsản xdx (1 - x²) 3/2 + C -sin-¹ x - √1 − x² + ² - (1-x²) ³/² + C sin-¹…

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Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

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Q: Evaluate: /4 * 2 sin-1 (플)-zv4-H + C A | f (x) = (В f (x) = 4 sin- (5) + xV4 – a² + C © f (2) = 2…

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Q: x sin 7xdx is a. xcos 7x sin 7x 7. 49 b. xcos 7x sin 7x +. 7. 49 xcos 7x sin 7x +C 7 C. d. xcos 7x…

A: Integral problem

Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

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Q: 2²dx Evaluate: 4 – x2 - A f (x) = 4 sin (5) + xV4- a2 +C 2 2 sin- () – xv4 – x² +C В f (x) = 2 ©…

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Q: S tan5 x dx O 1/4 sec^2 x(sec^2 x - 1) - In Icosx |+ C 1/4 (sec^4 x - sec^2 x -In Icosx |)+ C O 1/4…

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Q: What substitution should be used to solve the integral O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u…

A: We have to solve the integral

Q: 8- Evaluate a) Sz? + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) S 3x. csc² dx x3-9x2+8

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Q: b) sin 3x 3 sin x – 4sin3 x [Hint: sin 3x sin(2x + x)] Prove

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Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

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Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: a U 2Ə7 (r). 1 COS x sin' Proble 3. U8e the rеайсtiоn jоттиа - 1 (3.1) n-1 x + sin" xdx sin" n-2 xdx…

A: The given problem can be evaluated as follows:

Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: 4. If x= sin² and y = 1 when x = 0, then find the value of x when y = 3. 0 O 8 None of these

A: Topic- differential equation

Q: Show that sin (2n + 1)z 2n +1 { 7/4 */4 0<まく

A: We will use complex analysis to solve the given infinite sum.

Q: 13 A Iz =, arg (z) =tan-(8)- 13 B arg (z) =n-tan-(8)

A: the given complex number is 3-2j2j+1 rationalize…

Q: Evaluate: V4- 2 sin- () – xV4 – x² +C A f (x) = 2 2 sin- () + xV4 – a² +C B f (x) = %3D 2 (c) None…

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Q: Q25: A = e-2x – 3x5,B = 2Vx, C = sin³ 3x + 1 find A"" + B" - C'. (а) —8е-2х --sin 3x sin 6x – 180x?…

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Q: S(2) = vāsin(5z) sin z

A: Differentiate w. r.t to x

Q: Evaluate V1-289z2 sin (16x) + C 17 1 sin 1 (17x) +C 17 sin (16x) + C 17 1. sin (17x) + C 17

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Q: What is the particular solution of the function 2xe3 sin 7x – 8x?? O Aa? + Bx + C + Exe3, cos 7x +…

A: NOTE: Refresh your page if you can't see any equations. . . the second function is  which is a…

Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show…

A: The given problem is to show the result of given integral with using the given integral result.

Q: у 3 Сі сos 2х + с2 sin 2x y = cqe2* + c2xe²2x

A: See the details solution in below

Q: Q.2 Find [(x' +5x² – 2) sin 2.xdx . c Inx

A: According to Bartleby Q&amp;A answering guidelines I can answer only one question

Q: A. x + 2 4. x² + 4x + In (x + 2 + Væ² + 4x) + C 2 2 x + 2 4 x + 4 -1 x' + 4x sin -) + C 2 - 2 2 С.…

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Q: Evaluate: Scos 2xdx cos2x, cos 2x +C A 2 6 sin2x sin32x +C 6. B 2 cos2x cos 2x + C 6. 2 sin2x,…

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Q: 5. 4 f sin + 2zdz

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Q: Q1-6 * 2 points 1 -sin(2x): - sin(2x) -125 (D²-1)'

A: Given, 1D2-13sin2x=x-125sin2x To find:  To check whether L.H.S = R.H.S. or not

Q: 25. fx sec²xdx is a. x tanx - In cos x b. x tan x + In cos x c. x tan x-sec²x + C d. x tanx+sec²x +…

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Q: Find , if z= cos(3x² + 7y°) O 2x sin(3a? + 7y³) sin(3x² + 7y³) -9x cos(3x2 + 7y°) -6x sin(3x? + 7y°)

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Q: :: Evaluate: S sin 2x sin x dx 1/3 sin'x + c 1/3 sin'x +c 2/3 sin'x + c d. 2/3 sin'x +c a. с. b.

A: Given: ∫sin(2x)sin(x)dxWe know that sin(2x) =2sin(x)cos(x)Then…

Q: 6. ans. -2cos(1/2)x + C 2 Scos3xdx 7. ans. (1/3)sin3x + C . Stan2vdk 8. ans. (1/2)In(sinx?) + C

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

Q: 17. (D+ + 2Dz + 1)y = 5– 3x2 a. y = (C, + Czx) cos x + (C3 + C4) sin x – 3x2 + 17 b.y = (C1 + Czx)…

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) – 2xcos(2x) + sin(2x) A + C 4 2x?sin(2x) +2xcos(2x) – sin(2x) В +…

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Q: S √16 - x² dx X 4+16x2 A)√16-x2 - 4 In X C) √/16 - x² - sin-1 ] + c - C B)√16-x2+4 In 4+√16-x2 x2…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: If f(x) = 12sin(green wave), then the red wave isi %3D 20 |-3T/2 -TT T/2 TT 3h/2 2n |-10 IF f(X)=12…

A: Red wave satisfies the point -π2,0,3π2,0  a) Given,   6sinx+π+6 Put x=-π2…

Q: Evaluate D6(cosx+e-2*) (A sin x +64e -2 B cos x – 32e-2r (c - sin x – 32e-2x cos x + 64e -2x |

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Q: Q25: A = e-2x – 3x5,B = 2Vx, C = sin³ 3x + find A" + B" – C'. - (а) —8e-2х sin 3x sin 6x – 180x? 1 1…

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Q: 9. y = 3 sin įx 11. y = 4 sin mx 10. y = 2 sin x 12. y = 3 sin 2mx

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Q: 3 The value of (Isi n(x)| + x²) dx is .a 2 f(- sin(x) + x²) dx 0 .b .C 2 f(sin(x) + x²) dx -3 .d 3 ,…

A: Let's find.

Q: Q) choose one only 1) If y = (x − a)√/2ax − x² + a² sin-1 (*), then y' = 2√/2ax-x² - a a is…

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Q: Evaluate (5x2+3) cos x dx O (5x2 + 1) sin x + 10x coSx – 10 sin x+C O (5x2 + 1) sin x – 10x coSx –…

A: