R-4 (1-tan x) (1+tan x) dx evaluates to

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Q: (5-)dx ー3 2人 がー。 Sin(x) d X

A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

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A: Given gx=lnx3+sinx-3tanx3x4-x We know that lnab=lna-lnb. Therefore, using this formula we can write…

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A: We solve this integration by using By Parts Rule. We know ddxtan-1x=11+x2 ∫11+x2dx=tan-1(x)+C ∫xn…

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A:

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A: Value is zero

Q: sin(x-y) sin(x+y) tan x-tan y tan x+tan y ||

A: The given statement is: sin(x-y)sin(x+y)=tan x-tan ytan x+tan y

Q: IT y = /tan x then equals dx O 1) sec? 2/tan x 2) -sec? x 2tan x O 3) sec? x /tan x 4) - sec? x Vtan…

A: The given function,   y=tan x

Q: 3. tan(xy) + xy -0

A: Question number 3,Given,           tanxy+xy=0To find : The second derivative, y'' of the given…

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

A: Topic = Differential equation   Formula used ddxtan x = sec2xddytan y = sec2y∫1xdx=lnx+C

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A: We have to solve the integral.

Q: 3D when x= 1, y- "4 AnswER. In x + tan()=1

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Q: 3. Scos x(tan x + sec x )dx

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Q: Find integral.

A: We can use substitution technique of integration. In The substitution technique of integration , we…

Q: Scos x(tan x + sec x)de

A:

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A: Solve integration

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A:

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A: Solution; the objective is to find the value of the given integral

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A:

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A: See the details solution in below

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A: Solution of trigonometric Identity

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Q: 3){ tan" x dx

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Q: f(x)%3D -9 cos x + 3 tan a f'(x)%3D r() - [ f'

A: SOLUTION-

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A:

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A:

Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

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A: Solve the above differentiation.

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A: For the detailed solution of the problem follow the next step.

Q: 7. fx tan-x dx = (x² + 1) tan-1x-x+C

A:

Q: 2tan(x) dx 1 – tan2(x)

A: Solution:Given     ∫2 tan x1-tan2 xdxFormula:tan x =sin x cos xcos 2x=cos2 x - sin2 xsin 2x =2 sin x…

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A: We are allowed to solve one question at a time, since you didn't ask for any specific question so…

Q: y-3x +tan X

A: To Find :  dy/dx  1) d/dx[ tan(x) + 3x] = d/dx[tan(x)] + 3.d/dx [x]

Q: S tan³ x sec x dx sec3 x - sec x + С none of the choices sec³ x + sec x +C 1 sec3 x + sec x +с В

A:

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: fcos (x) sin(x) dx

A: We need to find out the integration of the given integrand.

Q: sin(2x²)+x³ . Let f(x) = 0, df if x + 0 Then find- if x = 0 dx x=0

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Q: (5-)dx Sin(x) d X

A: Since we have multiple question we are suppose to do only one. Kindly repost the other question as…

Q: sin x – x dx = ? 0-

A: Evaluate it.     ∫02sin x-xxdx

Q: tan-1 x (х-у) tan-1 x+y. > -1 y(x+y) where ().

A: Known fact: tan-1A-tan-1B=tan-1A-B1+AB.

Q: Differentiate

A: Given,

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A:

Q: -1 tan Evaluate dx 1+ x²

A: The given question is taken from the calculus and under the indefinite integral. We have to evaluate…