sink) Sin(x いr メ→0 X

Q: 19-x Evaluate ,* sin(x + y*) dy dx

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Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: 2- Evaluate sin x dx usin i. Trapezoidal rule ii. Simp

A:

Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: 21. y = sin xy

A: y= sin xydydx=ddxsin xy       =cos xyddxxy       =cos xyxdydx+yddxx       =cos xyxdydx+y       =x…

Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: /24 x tan? (6x) dx = sin(5x) %3D

A: Consider the integral  ∫0π/24xtan26xdx

Q: b) lim, . sin(8z)

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Q: Oz Oz find Ox if – sin(4xyz) = x² +y² + z³ Oy 2

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Q: Je sin? x dx. sin2 x

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Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: 1-cos y 9. lim y→0 sin? 2 y

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Q: п sin ydx + cos²xdy = 0; y (÷) =| %3D 4

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Q: DATE. TAO D sin/tan" t) sinx Ix -xZ 2. 3)sech u t tanhu)? du

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Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to…

Q: S sin 2t Vcos 2tdt

A:

Q: If y = tanh"(k/x) and x (1 - 144x) y'=A Then A= .

A: First we find the derivative of the given function y.  After that we substitute k=12 in the result…

Q: 5. Se* (sin x + cos x) dx

A:

Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: B) Find and if x sin 3z and y = tan 3z dx

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Q: coth*(sin 3z) 12) zp- V1- ? 3z tanh

A: Integration of given function

Q: f tanx = 5 and cosx > 0. Sh

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Q: 12 Sin X de =?

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Q: 36. sin x dx, with 6 rectangles using the Right Hand Rule.

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Q: sin 20 d0 J Vcos² 0 + 16 V cos?

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 2. S sin 2xcos5xdx

A: To evaluate:∫sin2xcos5xdx

Q: 4. y = Ae bx are cosax + Bebx sinax, where a and b(lowercase) parameters. (not to be eliminated)

A:

Q: lima sin(1/x) x→0

A: Using squeeze theorem

Q: coth“ (sin 3z) -dz /1– tanh² 3z 12)

A:

Q: yA y= sin.x y = cos x

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Q: rcos y pa-y ET sin( y + z)dzdxdy 6

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Q: 14. sin- (dyldx) = x + y %3D

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Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

Q: I sec25x dx = ? tan x +C 1/5 tan x +c 1/5 tan 8x +C

A: We will solve the problem

Q: Sy sin-'y dy

A:

Q: 2) y = sin(3x²ex)

A: Find the derivative

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: x2 tan In y

A: Here we can find dy/dx as below

Q: In Va? + b² dx In x arc tan- Jo (x + a)² + b² where a and b are real.

A: We will prove the given identity by solving the integral using appropriate substitution.

Q: 4 sec2 x tan ydx+ sec? y tan xdy = 0.

A:

Q: 2- Se2* sin x dx

A: ∫e2xsin(x)dxWe will use integration by parts: ∫fg'=fg-∫f'gf=sin(x),…

Q: tan y = In 2 + e"

A: Given : tany = ln2x2+e-xy

Q: 8. fx,y) = sinx cos y

A:

Q: cos ydy Sin y+ 5 sin 3 sin y+6

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Sinh メニ 2o COSN メー? Secnx =? tan h X=? Cotn X =?

A: Given, sinh x = 2099  We have to find cosh x,  sech x, tanh x , csch x  and  coth x.

Q: Find z2 sin z dz

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Q: x=sinht,y=cosht.

A: Dear student, since what is to find by using given parametric equations is not mentioned in the…

Q: a) y=In(*). x tane 4 cos x y = 3x + sinx b)

A: Given: The functions are, a) y = ln ( x tan ex )