1. 3sin x = sin-' (3x – 4x³), xe 2 2.

Q: (sinx)" dx is:- 4) The solution of (sin x) dx A) (sinx)' dx B) C) Zero

A: ∫0πsinx7dx=∫0πsin7xdxWe know…

Q: (2) Find it -ソ= x(lue) 2- Y=lu(Cosx )

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Q: 4x x*e*dx (2sin dx V4-x2

A: We can solve all the intregration problems with tha mathod of substitution. In substitution we use a…

Q: 4. Solve sin (2-) = 1.

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Q: 3 1 13. Jisc(2)csc (2x)cot (2x)dx cresc 8 Type. U = U' =

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Q: 2. 2 | sin xcos xdx

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Q: d? -(sin-'(x²)) dx2 2– 4x4 A 3 2– 2x4 B 3 2+2x4 3. 2+4x4 D

A: Here we have to use the concept of derivative

Q: 4. sin2xcosx + sin x 1 xE[-27, Zn]

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Q: 10x 19) y Sin'(5x') (ans.: JI-25 x' 20) y= Cot ) (ans.: 1+ x' 6x' 21) y=tan'V4x'- 2 (ans.: (4x'-1…

A: As per guidelines we can only solve first question or first three subparts of the question, I am…

Q: 4)y = 2 sin (3x +) - 1

A: Given: y=2sin3x+π5-1

Q: 3. sín 4x √1-16x² dx

A:

Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: 9.) y(4) + 2y" +y = x² sinx

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Q: x4 x² x² + 1 - 1 dx ii) Š 1+ Inx

A: Please refer to the image below

Q: Find f. Note that the coefficients and the constants must be exact values (no decimals).f^II (x) =…

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Q: @ y = x tan 2x

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Q: 1. /2х— х2 dx

A: Given ∫2x-x2 dx The given term can be rewritten as ∫2x-x2 dx= ∫2x-x2-12+12 dx so we get…

Q: 1. sin° x cos x dx

A: sin3x cos4x  = sin(x) sin2(x) cos4(x)  = sin(x) (1 - cos2(x)) cos4(x)  = sin(x) (cos4(x) - cos6(x))…

Q: Sr12 (sin 2x)(ecos2x)dx π/2

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Q: ху' %3D у (1 — х tan x) + x? cos х x) + x² COS X

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 7 (1 + sin² x) = e 2" sin 2.x, y(0) = 1 X 7) dx

A: This equation solve by separation variable

Q: dx Evaluate V- x² – 4x – 1

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Q: f'(3i) = -i, g(7+ 2i) = 3i, g'(7 +2i) = -4. Find (f o g)'(7+2i). 4i -4i 2.

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Q: 3. √9-x2 dx (hint: sin x = S dx (hint: sinx = (sin²x)(sin²x)) x4

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Q: #1) Solve: 2 cos²x − cos x = 1 on [0,2π) —

A: Given ,  2cos^2(x) - cos(x) =1 on [0,2pi)   Substitute  u  for  cos⁡(x) .  2(u)2−(u)=1…

Q: 2) y = sin(3x²ex)

A: Find the derivative

Q: 4 sin' 2x cos 4x dx 4.

A:

Q: 2) Find the general solution of the equation 1 y""+y' = (sinx)3

A: The  given equation  is  The auxiliary  equation is  given by…

Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx