(x – 2) tan- (2x) - 12x - 3x (4x + 1)(x – 2)² 39. dx (x + 1)2 tan- (3x) + 9x + x dx (9x? + 1)(x + 1)? 40.

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Solve dy 2 dx - dy + 2y = 7 cos x + 5et dx -3-

A:

Q: Evaluate D(sinx – 4e2) D³(sinx cos x-32 e В -cos x-32e2 C) -sin x-32 e2x (D sin x-32 ex A

A: The objective is to evaluate, D3sinx-4e2x

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Q: Topic: Variable Separable and Homogenouse D.E. I need particular solution for 4

A: We have to solve

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A: Apply the chain rule of derivatives, If y = f(g(x)), thendydx=d(f(g(x))d(g(x))×d(g(x))dx

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Q: 2x3 + 4x – sin x - dx = 0 х2 — 7 a

A: Consider f is any function defined on the interval [-a,a] .Then f is  even if f(x)=f(-x) for all…

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A: Please see the whiteboard.

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A:

Q: Evaluate D³(sinx - 4e²x) A -sin x-32e²x B -cos x-32e²x (C) с cos x-32e²x D sin x-32e²x

A:

Q: (e² sin³(2r) (d) y= ln 2x2 + 1

A: Given, y=lnexsin32x2x2+1 derivate both side and find dydx dydx=ddxlnexsin32x2x2+1…

Q: Evaluate D3(sinx – 4e) A cos x-32 ex B -cos x-32 e?x -sin x-32 ex sin x-32 e2x

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Q: 4. evaluate 1 -5x dx xe x sin( 2.x)dx 5)

A: Integration by parts.

Q: 2 a. (1+5 ln x)³ dx fa+ b. (1+3 tan x)² sec? x dx 2x + 5 dx Vr – 3 2x3 – 5x? + 9x – 4 C. - d. dx x²…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

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Q: cos x 3. f sin³x dx (2 + sin?x) + C 3 4. S* x sin 2x dx 1-9x2 5. S sin-1 3x dx + x sin-1 3x + C 3

A: Q - 3

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: Evaluate 1- cos X dx. 2 1- cos x dx = %xp 2

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Q: 2 1) (-2xy) dx + ( Sing-x²) dy

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: - 2r³+ 4x²+ 3 -dx is equivalent to x²(x²+ 1) 2x- + - 1 dx x?+1) 2x –1 dx x²+2, 3 B © /: 2x – 1 x+1…

A: Given problem:-

Q: x5-3 14. S4 cos (-3x + 2) dx

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Q: 1 S- dx 4 - 9x2 а. -sin-1 -X+ c b sin-). Ос C.

A: Let  (3/2)x = sint So, x = (2sint)/3 Differentiate on both side  dx = (2cost)/3 dt

Q: d[cos(x*)] dx (2k+1)! (-1)*2,* - (2k)! .(-1)시2x4~2 (2k+1)! (-1)*2x*-3 E (2k+1)! None (-1)*-'2x*-1 E…

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Q: 35) y = -4 sin x 4+ 2+ 2n -2+ -4-

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Q: 1. D² {Sin ² x 3 2. JD²-15² √2e²x3

A: Here D is the differential operator. D=d/dx

Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

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A:

Q: Q-1: Integrate the fraction of functions: 1. f- 14a+1 2. sinx- V(1-x) 2-7x-4x2 dx 3. SE 1-sine dep.…

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Q: a²-x2 6- Sº, S dy dx -Va2-x2 7- Sx? cos 5 x dx

A: As per bartelby guidelines we have permitted answer only one question if given more than one…

Q: 1? sec?( sec-x)dx x/x2 -1 3

A: By using substitution we can the given integral

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Q: S 7 tan (2x) dx 2 Hint: tan²x = sec ² x - 1

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Q: (tan (3x)] = %3D dx A) 5 tan (3x) sec2 (3x). B) 15 tan (3x) sec2 (3x). c) 15 tan (3x) sec(3x). D) 5…

A: We have to find the derivative

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Q: # 4 sec x tan x dx O -8/2 O-4/2 O 4/2

A: Just I have used the rule and find the value of given integral is , -8√2

Q: (cos(3x+ 1))² lim 7+ 4x

A: our objective is to find the limit