EQUATIONS 5y" – (3')* = y* sin æ yy" + 2x = tan x (#)' 4e %3D 8 M 8M dy? = cos x + N et' + (t")³ Vr + 5 (3y')² (4z²y³ + y) * y" ez² - y? (cos z)² – y" %3D

Q: 2. 1= j tan(4x³) ,sec²(4x²)xdx dx 1- I=31-2x) (In( 5. I= 3. 1= ftan? (3x) sec? (3x)dx

A: Here we have to find the value of the following integrations. Note :   As per our company guidelines…

Q: Cos x sin (sinx) dx

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Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: y = x sin-'x + v1-x² What is dyldx? " v1 - x2 x tan-1x >>>> >>> cos-'x sin-'x

A: The given function is: y=x sin-1x+1-x2

Q: y" +y = 3 sin 21 +t cos 21

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Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: (y cos x + 2xe)dx + (sin x + x²ey – 1)dy = 0

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Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: dx xVx -1 6.

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Q: Rewrite the following equation with the variables separated. tan(y)y' = 4 cos(x) O sin(y) dy = 4 dx…

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Q: 4. S(9x + 33x +22) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find and of the implicit equatio: a 3x?z + y – xyz' = 0 b ye-* + z sin x = 0,

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Q: dx S (x² – 6x + 13)² 4.

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Q: vor use two and three Points 1 Gaussian Guadrature 2 (1+sinx) dx = I

A: Given integration is I=∫02πe1+sinxdx Let f(x)=e1+sinx Formula for two point method is…

Q: |tan' x.sec x.dr = tan x +C %3D

A: This question is based on indefinite integral.

Q: (- + 2 cos 2x ) dx + (- - 2 sin 2y ) dy = x2

A: You have asked multiple questions in a single request. As per our honor code, we will only solve the…

Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

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Q: Find dy/dx if y = (*+*) А. 1 В. 2х + 2 D. 1/x C. 2x + 4 csc(2b) sec(2b) Find da/db if a A. 2sec (2b)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Siny dy = Cas y (l-x Cosy) Cauy) %3D

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Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

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Q: 23 42 R 1 y=2 sinx 2 y = Which equation is represented by the graph? sin 2x 2 1 y-sin 2.r = 2x 1…

A: we need to find the equation of the graph

Q: Solve using variation of parameters: y" - 2y' + y = e(1+1²) + 3et p= ₁ ¹ + ₂ tet (Use 2 decimal…

A: Using Variation of Parameters Method we have to find the u1(2).

Q: @ y = x tan 2x

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Q: (sec2 0 – sin 0) de sec y (tan y – sec y) dy 1 2

A: Given:- 1. ∫(sec2θ - sinθ)dθ2. ∫secy(tany-secy)dy

Q: 4. (sin y - y sin x) dx + (cos x +x cos y- y) dy = 0

A: Note: As per our guidelines we are allowed to solve one question

Q: Column I Column II xdx + ydy (p) (A) xdy - ydx n2r- y= cos's, where ja 0is (s) y= 2 (1- tanx)

A: