2 cosh V5t + t5 1 -2t sin 2t

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Q: sin(2t +) dt eu-3 %3D 64

A: Let, I =∫0∞sin2t+π2e2t-3dtApply integration by part ,Ist function = cos(2t) , since sin(π/2+x) =…

Q: 3) SV1+ sin(x)dx 4) ( cosh2(r) sinh2(r) dr

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Q: 7. S. 5x4x² 3 sin 2x y = 2 y = 4

A: Solution ) y = 25x .34x^2 Take log both side  log y = log ( 25x .34x^2 )  [ log m.n = log m + log n…

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Q: S sin² 2xcos² 2xdx

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A: To  evaluate the integral.

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Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: b) S (7x² – 5x² – 4)sin (3x) dx |

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Q: y = 2 sin 3x 1+3cos2x

A: We are given  y= 2sin3x/(1+3cos2x)  We have to compute y'.    Before computing y', let us first see…

Q: sin 2t sin 5t 10 58s2+ 441 20 s4+58s2 +441 84 O Option 3 Optlon 4 O Option 2 O Nons of the cholcss…

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Q: cOS X sec x = 2 sin x if 0 Sx< 2m А. п/4, Зл/4 В. π/ 3, 5π/3 С. T/6, 5n/6

A: Given: cosxsecx=2sinx

Q: 3. = Cos xsin +xax+a 5/2 3/2 1. Ans: Y= 4sin'x* sinx+ To CAx+4)^- Cax+a) 3.

A: To solve: dydx=cos3x sin2x+x2x+1 Solution Given differential equation can be written as: dy=cos3x…

Q: S(2) = vāsin(5z) sin z

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Q: Classify and Solve; +9 = cos² t + sin² t + cosh t + sinh t + 3 sin t – 3t dt dt2

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Q: 8) y'+y=17 sin(2t), y(0) =-1.

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Q: 2. S sin 2xcos5xdx

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Q: I. Power Formula sec² xdx 1. S (1–4tanx)7 (2x+1)dx (x+2)*(x-1)* 2. S;

A: In this question we have to find the following integral using power formula. We know, Power formula,…

Q: 6. f(t)=-e" sin (2r + 7) -2t 7. f(1)= 3e " cosh (In 21) %3D

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Q: 4:    Y = sin-1 2x 5:    Y = sinh-14x

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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

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Q: 2. L{cosh 3t sin 3t}

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Q: Quèstion 3 8+11x dx = 8-11x %3D 1 1 1 O A. 2 + C ++11x 8-11x 11x OB. tan-1 8 64 121x + C |- 1 11x 8…

A: Multiply by sqrt(8+11x) in denominator and numerator.

Q: Evaluate: S 0 tan¬(0)d0 arctan(8)–0 Sarctan 0 + C 2 arctan(0) 0 zarctan 0 + C 2 arctan 0- 0…

A: Please refer the attached image for complete solution.

Q: Fn C) = show sin nx ス|L Sinnx

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Q: 2 sin x + v2 = 0

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Q: 1. xý + 3y += sin x v2

A: Given :

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Q: 1. D² {Sin ² x 3 2. JD²-15² √2e²x3

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Q: #1. ( sin2r #2. rp- sinz 13. L #4.

A: To solve the given integrals we must know about the power rule of integration and trigonometric…

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Q: Evaluate the integrals

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Q: 2. Sin 2x dp X UIS 6.

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Q: 2ク • *ý-4xý +6y =-X sinx 3 2. Ans y= C,X +C2 X+X Ssinx

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Q: (7) (4+sin-15x)° dx V1-25x2 3. dx (8) J Ja +x Vx

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Q: 3 sin x d.x 4 1. Show that

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