3 sec u du = ln | sec u + tan u + C

Q: tan + x Anctan ly =0

A: The given differential equation is,

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A: Given: I=∫secxsecx+tanxdx. To be find: evaluate the integral by using integration by parts. Concept:…

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Q: sec' x dx 1– tan x

A: We will find the integral as following.

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Q: J 1 cot³ x O 3 2 dx = In | sec² x − 1| + C --- O 1 tan² x + ln | sec x + C 4 O 1 2 O 1 2 1…

A: I have stated the used formulas in the solution

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

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

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Q: sec e de 1+ tan 0

A: To find∫secθ1+tanθdθ

Q: sin t 1- cos t 6. s = 7. s = 12 - sec t + 1

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Q: sec (x) tan (x) dx S S cos(x) sin (x) dx - log2 (x) dx

A: Important points: 1. If the derivative of a function is present then assume the function as t and…

Q: 4 tan(x) sec2(x) dx = Select one: а. - 1 2 b. 1 С. 1 d. 1

A: Solve integration

Q: 20. cos x 3 cos x -V2 cos x csc x; xe[0,2n]

A:

Q: S(sec x tan x – 4x³)dx = - o tan x + х* + с sec x x4 + c sec x + x4 + c - sec x + x* + c - sec x x4…

A: Some of the properties of integration ∫f(x)+g(x)dx=∫f(x) dx+∫g(x) dx ∫xn dx=xn+1n+1+C ∫ (sec x tan…

Q: 1+sin x/cos x + cos x/1 + sin x = 2 sec x

A: Given:1+sinxcosx+cosx1+sinx=2secx

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A: To evaluate ∫sec2-xtan2-xdx

Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

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Q: sec x tan xdx = (sec x) - 5(sec x)° + c - (tan x) - 5(tan x)° + c 1 (sec x) - (sec x) +c 2(sec x)* °…

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Q: 1 sec x sin x CSC X cos X tan x

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Q: S(sec x tan x – 9x³)dx =. - - sec x – x+c O sec r + x° +c O tan x + x +c sec x + x° + c sec 2 — 29 +…

A:

Q: 3 sin x y = [cot-1(품

A: Explanation of the answer is as follows

Q: Evaluate the integrals

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 1-T= 3- Z= +cos(y)tan ( √x-b cos (n) 2-sin²(n) 2-B=sin(x) sec(x)/cscf(x) 4-(w+n)²(a+) x-3

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Q: tan x 4. a) Evaluate dx. In (cos x) b) Evaluatef e4*x3 dx.

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Q: (i) * cos x + cos x tan²x dx sec?x (ii) |x – 2| dx (iii) | x²/x* + 1dx

A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

Q: sec (0) J de 5-sec2(0)

A:

Q: 9. Solve 4(sec² x)(3 – tan x)/2 dx by substitution. Remember that the first derivative of tan x is…

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Q: S(csc x cot x + 7x°)dx - sin x + x' +c x7 Csc x + x' + c sec x + x' +c csc x + x' +c -

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Q: Vsec z tan ædx = 3 O None O 2(sec æ) – }(sec æ)* +c 15 11 유(sec z) -5(sec z) +c -(sec 2) 3 + c 10…

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Q: (b) y=sec x, y = tan x, x = 0, x =1

A: Refer to the figure shown below:   The (grey) area bounded by the given curves is revolved around…

Q: (4 csc x cot x + 2 sec² x) dx

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Q: tanh x dx O sech?x +c O sinh x +1n(x)+c ]In(cosh x) +C

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Q: tan" -1 I# Z-X FEMD fyx At (-,1).

A: The solution for the above question is as shown below.

Q: S(sec z tan z – 7x®)dx =. O tanz + x7 +c sec a – x² +c – sec z – x² + c z - sec z + x² + c O sec a…

A: Topic = Integration

Q: evaluate the integral.

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Q: 19-f(t)=t-sin 2t; 20-f(t)=e" cos 2t.

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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

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Q: 7. (3 tan x 1 - 2 cos y) sec² x dx + tan x sin y dy = 0. ANE cos y tan² y ton3 y L

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Q: sec (In x) + sec2(In x) tan(In x) dx Given: 2x Find: du

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Q: *n/3 27. tan'x sec*x dx 28. tan (2x) sec (2x) dx /3 29. tan'x sec x dx 30. tan'x sec°x dx 31. tan'x…

A: solve integration

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

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Q: ∫sec^2 x / tan x +1  dx

A: