3 tan (x) sec (x) dx T) sec (x)dr

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A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

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A: Indefinite integral: - The term "indefinite integral" refers to an integral that has no upper or…

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A: Here we use use substitution method to evaluate the given integral.

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Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Integration:

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

Q: 3 cos(x) sin(4x) 3. lim x→0 2x

A: Solution:

Q: y-e" sec! x-3x° 2 csC X Sin x-2X

A: on doing the differentiation of this we get the

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A: Note:- In given problem, according to written way sin2x is multiplied by 3x+1. If you want solution…

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Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

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A: Given integral is: I=∫0πtan x dx We have to evaluate this integral.

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Q: 1+sin 2 x 1) Find the derivative of f(x) 2 cos3 x

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Q: evaluate the integral.

A: Let,

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

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A: Given problem:-  ∫tan(x)dx/(1+cos4(x))

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A: Introduction :

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A: Solve: 9)  ∫sin4xcos3xdx10) ∫cot2xxdx

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Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: 1) Given ddx3sin3tanx2+3x2. Find value of differentiation of the function. 2) Given ddxx2+1cot…

Q: /4 g- x sin x dx

A: Given integral is ∫0π4x sin(x)dx So here f(x) = x sin(x) As π4 ≈ 0.785 Let n = 5  => h = 0.157…

Q: of y= sec(x*) . 4. Find 2xsec(x?)tan(x²) sec(2x) tan(2x) O sec(x³)tan(x²) 2sec(x)

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Q: e*+ cos x (d) h(x) = tan x (e) y = Vx sec x e* =dx.secX.さャx.d secxrが4リxのsecX.àビ…

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Q: cos x sin x dx 4. sin 2x cos 2x dx 5. cos x sin* x dx 6. sin 3x dx 7. sin³ x cos? x dx 8. 3.

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Q: 10. f cos*x sin x dx 11. (sec² 3x) dx / (tan 3x) 12. Setan 2x sec² 2x dx

A: Topic:- integration  Note:- as per our guideline if more than three subparts posted than only first…

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