4. 2x cos 3x dx s.fx 5. x3 sin 3x dx

Q: dx (2) S V9-x² E(Ctrl) X. 2x sin-1(구)+ sin-1 (민 + Option 1 Option 2 2x cos-1(민 + c CoS Option 3

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Q: O. p. S sin 2x cos 3x dx 3dx /1 + 9x²

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Q: Find dy/dx for y = (cos x) 2 + sin(x 2 )

A: Given that      y = (cos x)2 + sin(x2) We have to find dy/dx .

Q: .2 x sin (xy) dy dx Jo Jo

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Q: S sin (2x – 1)cos (2x-1)dx (2х - 1)dx

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Q: If y=(sin3x-cos3x)², find dy dx

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Q: 5- = cos nx dx= [cos nx cos nx dx 0.

A: We have to solve given problem:

Q: 3) еУsinx dx %— cos²x dy

A: Differential equation

Q: 5y + sin y = x²

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Q: 4. Integrate COs x dx

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Q: 10. Find , if y = dy 1-cosx dx 1+cosx

A: Given  y = (1- cosx) /(1 +cosx) To find dy/dx

Q: 9. Integrate: Ja (x- 1) cos(x? - 2x) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: x/2 | (cos(x) + sin(2x)) dx of

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Q: dy Cos(3x) + (In x)

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Q: 3. S sin x In(cos x) dx

A: According to company rule, we can answer only first question.

Q: e2x dx 1. Зе2x+1 2. sinx dx 1 3. cos 2x

A: As per bartleby guidelines we are supported to answer only first three subparts,  kindly repost…

Q: 4. ["s 0 sinx + 2 cos x dx

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Q: 4- Find dy/dx for: d- y = /1+ sin³ (x5) e- y = 2(Va – 1)( f- y = cos³{sin(2x*)} x-2 x²+3x' %3D

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Q: 1. S e sin 4x cos 4x dx 2. S dx Je-2x dx e 2x

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Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: So S (2x – sin(y)) dx dy.

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Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: 2.Find , if y = sinh x %3D dx' 1+cosh x

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Q: 25 a²y(cos(Tz) +2) dæ dy dz

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Q: S sin(3x + 2) cos(1 – 4x)dx

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Q: 1. S(esin x cos x - acos 2x sin 2x)dx

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

Q: 1) S ur [sin(In x)+cos(ln x)]² dx

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Q: S sin* 2x dx 4

A: The complex form of integral can be converted to simple integral…

Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: 3z cos(z)dz

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Q: First and second derrivative of: y=5 /(sin 3x+cos3x)

A: the given function is: y=5sin3x+cos3x we have to find the first and second derivative of the given…

Q: 10 5. Find dy/dx if x tany + y" Sec x = 2x.

A: 5. Given: x2tan y+y10sec x=2x Differentiate both sides with respect to x: ddx[x2tan (y)+sec(x)…

Q: B) Find dx dzy and if x = sin 3z and y = tan23z dx2

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Q: 1- Sinx + Cos2y=0 dy dx

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

Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t

Q: 7)(x+tan y) dy sin 2y dx

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Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x d'y dx? 1-cos4x 6. if y = 1+cos4x du

A: Topic:- derivatives

Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: 2) Integrate: S(29sinx + 6e + 5 cos x + Vx)dx

A: Given that, The integral ∫29 sinx +6ex +5 cosx+x5 dx By using ∫f(x)+g(x)dx =∫f(x) dx +∫g(x) dx ∫ 29…

Q: if  x²v+sin(xu)-yv²+u³v=1 x²u-2yv=1 ، cos(xu)+yv=5  ,find dy/dx

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Q: 2n Sin (3y) dx + 3x Cos(ay) dly =o

A: Given differential equation is 2xsin(3y)dx+3x2cos(3y)dy=0

Q: 3. Find dy dx y= 3 Sin.

A: Find derivative

Q: 1. [z x cosx dx 2. x sin 4x dx 3. xedx 4. x Inx dx

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Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: S cos(2x + 1) sin(3 – 4x)dx

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Q: d'y dy dx² dx 21 29 - -6y=6e¹ cos x; when x=0, 20 dy dx =-629 y = 2e-3x - 2e²x 3e-* 29 (3 sin x - 7…

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Q: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: 9. [sin Ssin' cos–dx 3 3

A: (9) To evaluate ∫sin5x3cosx3dx Substitute sinx3=u and cosx3dx=3du. Therefore,…