ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O 3/2 t+ 1/2 sin2t + 1/16 sin2t + C None of the choices

Q: in²3xdc O 3x-sin3xcos 3x +C O 3x+sn3xcos 3x +C Bx-sn3xcos 3x 3x-sn 3rcos3x +C 3x+sn3xcs Bx +C

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Q: 13. a. ds1 d वा ( 13²¹ + (1²)²5 dt dx51 dx 3²x2.50 +50! b. 32x250 (In 3)50 #

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Q: Find L{} (82+9)2 } cos(3t)-3t sin(3t) 54 cos(3t)-3t sin(3t) 18 cos(3t)-3t cos(3t) 18 sin(3t)-3t…

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Q: What is the particular solution of the function 3e" sin 5x – cos 5x? A cos 5æ + Bsin 5x + C'e" cos…

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Q: P H2) = 3 (13) flx)- Sin () (x3-3x6x-8) 1. (15) Cos x %3D f66)=Sinx. +cosx 18 sinseti (19) 20)…

A: (1)f(x)=3xAs we know that domain is the set of possible input values shown on the x axiswhile range…

Q: a 1 - x²) cos(nx) dx F(x 一九 4 sin(nл) — 4nл соs(nл) — 2n²л² sin(n) πη3

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT ●コヅシッシ 2*@*!??!!??! ¿¡ !?! Wa - XXX O * Take Aeikx+ Be-ikx &♪…

A: To Show: Aeikx+ Be-ikx = C cos(kx)+ D sin (kx) Now, cos(kx) = (eikx+ e-ikx)/2 sin(kx) = (eikx-…

Q: Let `f(x)= (9 sin x)/(2 sin x + 4 cos x)`. (9 cos x) (2 sin x + cos x) – (9 sin x ) ( 2cox – 4 sin…

A: Given f(x)=9sinx(2sinx+4cosx). The objective is to find f'x and equation of tangent line at π2.

Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

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Q: ſe^(3-z) sin(2+z) dz *

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Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

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Q: On the guide to solve integral sin2x/1+cosx why is the first step changing it to 2cosxsinx/1+cosx?

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

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Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

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Q: 4 L, cos-"(2x) Voz int(acos(2*x)*sqrt(exp(pi/2),4,-6) int(acos(2x)*sqrt(exp(pi/2),-6,4)…

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Q: I/2 52) 5), 5/2 6] Sin23xdx Cos'xdx

A: As we know that; The trigonometric identities; 1). sin2x=1-cos2x22). cos2x=2cos2x-1   5). Given:…

Q: Question 4 (sin(3t))^2(cos31)) dt

A: To evaluate the integral ∫sin23tcos3tdt Formula used: Power rule of differentiation ∫xndx=xn+1n+1+c…

Q: Evaluate sin-¹(cosx) dx using integration by parts. (A) B xsin ¹(cosx) + = + C x² ++C 2 D xsin…

A: The given integral is: I=∫sin-1cosxdx   As we know that; The Chain rule: fgx'=f'gx·g'x The Power…

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: L= {4 sin (3t) + 2 cos (9t)} L = {sin (2t) cos (2t)} 4s 6 2 + s2+1 s2 –9 s2+4 4s 6 + 82+1 2 s2+9…

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Q: Find 7s + 15 -7 s2 + 2 15 cos (v2t) + 7 sin(v2t) V2 7 cos(V3t) + 15 sin(3t) V2 7 cos (v2t) – sin(vZ…

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Q: 1(a) Evaluate sin(theta)cos(theta)-sin^2(theta) at theta=pi/2 (b) Evaluate sin(theta)+cos(theta)at…

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Q: 9 Jlguull 2(s-1) (s-1)²+9 2et sin3t a O 3e -t cos2t b O e-t cos3tc O .C 2et cos3t d O 3.

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Q: * The following function f(x) = x^4 sinx is odd O neither even O O

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