|2tan x In (cos x) dx=

Q: dx Perform the Integrations 1+ sin x+ cos x

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Q: dy evaluate dx (sinx+1) 5-1f: y = (cosr+1)

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Q: e*(1-cos(x)) Exercise: Evaluate S dx.

A: Now evaluate the integral, ∫0∞ex(1-cos(x))xdx Take the minus as outside and it is concluded as…

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: B. By miscellaneous substitution (VE+1)dx dx 1. S 2. S: 3 cos x+2 sin x-5 XA +

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Q: 3 tan-(x)dx O V3 - In (8) V3 TL In (4) 2/3 2.

A:

Q: 2FI 2 sin nx dx cos nx dx =0, where n integer. %3D !! 0.

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

Q: find dy/dx. y = cos x/x + x/cos x

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Q: dy olution of the DE =CO dx 2x + C nx + C (x) + C

A: We have to choose the correct answer from the given options according to the given information

Q: Find if y = In x5 + e¯cos2x – lIn e?. dx | dy_5, esin²x-cos²x 4 sinx cos x dy 5 %3D dx e cos²x-sin²x…

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Q: f) y= xcos(xln x) g) y= 3(sin 2x – x* }** In. 3x'e** h) y= cosx

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Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: Ssint2x)dx = 2cos(2x) (2x) + С -cos(2x) + C O 2 cos(2x) -cos(2x)+ C

A:

Q: y 2sin x-cos 2.x for 0° sxs360

A: Consider the function, y=2sinx-cos2x Differentiate with respect of x,…

Q: dy 11. = cos(In z) dx

A: The given data is: dydx=coslnx  To solve the differential equation.

Q: x sin x dx g. S. Så sin x cos³x dx h. f(x + 1)√2 - xdx

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Q: dy Find for y = - 7x+5 cos x. dx

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Q: sin x dy Given: y = Compute for dx 1-2 cos x

A: The given function is y=sin x1-2 cos x

Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

A:

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

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

Q: Q1) Lind dy/dx of O xe 1o X +3y = 0 2 2sinx cosy=1 9 x = sec!

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: 211 sin nx dx [ [1-cos2nx]dx t, where n %3D

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Q: dy Find dx if y = cos (4x - 3x + 1) s*(4x²-3x + 1)

A: Given that, y=cos4(4x2-3x+1)

Q: dy Find for y=7x sin x+14x cos x-14 sln x. dy

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Q: 1. If F(x)= = cos a sin r (√t-1)' dt, find F'(x).

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Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: dy 2y dx = x° cos x

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Q: Find the antiderivative of f(x)=cos(3x)

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Q: ( cos x - 3xy- 2x) dx + (2y sin x – x+ In y) dy = 0, y(0) = e

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Q: 5. y = l 1- co s x 1+co s x

A: We have to find out dy/dx for given y

Q: Show that sin x dx=1-cos t (0<x<t<}r).

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Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

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Q: Let e 2* = 2 find dy dx at x = 1

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Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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Q: find dy/dx. g(x) = cos x/sin2 x

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Q: find dy/dx. ƒ(x) = x3 sin x cos x

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Q: The of the function y= e sin(3x)- In(5.x +2x+1) dx at (0,0) is: А. О В. -1 С. 1 D. 3

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: If y = x tan-x- In /1+ x² then ¬1x-In V1+ x² dy is dx

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Q: Find . dy dx e 4x, = sin (x + 8y) %3D O In sin (x + 8y) 4e4x -1 S cos (x + Sv) S cos (x + Sv) 4ex -…

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Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: Find dy/dx if y = In (tan(x). 3sec(x) + /sin (x³)

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Q: S sin t dt 0. lim x→0 2 x4

A: Given,

Q: (x+sin x ) equals: dx O Cos X 1-cos x 1+cos x

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Q: -2n f) S“ cos 2x dx g) S et² t dt h) S x sin(x²) dx

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Q: Show that Sx cos*x dx = (x² + x sin 2x +cos 2x) + c

A: Given: ∫xcos2x dx=14x2+xsin2x+12cos2x+C.

Q: .3 cos(t) dt F(x)%3 cos(x). *

A: We are going to solve this question by the method of leibniz rule of differentiation under integral…

Q: Show that d/dx(ln kx) = d/dx(ln x), where x &gt; 0 and k is a positivereal number

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

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Q: (y cos x + 2xe") dx + (sin x +x²e + 2) dy = 0; when x = 0, y = 0

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Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.