Sco The value of cos (x+3) dx with U=x+3 is -cos (x+3) sin(x+3) +C -cos(x)+c

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

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Q: d -1 ) Prove that cos 1(x) : dx V1-1

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Q: Q2) 1- Find for: y= cos (x)+cos(x*) CoS

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Q: f(x)% 3D cos (x) -1

A: For a function f(x)=A cos(ωx+b)+c The amplitude of the function is |A| and the phase shift is b.

Q: (b) (cos(x) (2x + 3))'

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Q: S 4- e-2) cos(e- + In z) dz

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Q: EVALUATE 3 x2 +1 cos dx -1 dx x2 +1 А. cos В. О C. 2/ cos 3 dæ x2 +1 D. 1

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Q: 3 cos (x) sin (x) dx = %3D 2 15 O None 6

A: To find the value of given ∫0π23cos2xsin3xdx

Q: 7. The value of A. cosx - C O A O B О с O D dx √(1-x is B. sin '(x)+c C. cosx ' +2¢ D. cosx

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Q: -3x cos 2x da A) - cos 2x - 3x sin 2x + C B) - 2x- sin 2x +C s 2x - sin 3x + C D) - cos 2x - sin 2x…

A: Since you have posted multiple questions . As per the guidelines we will solve the first question…

Q: (a) f(x) =cos (7æ) cos (Tx) 3

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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

Q: nx and y=cosx from x=- to x=- 4 4

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Q: r 3n 4 Evaluate sin'x · cos'x dx 5. n /2

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Q: 2. Find the domain of the function. cos x b. f(x) = 1 - sin x

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Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

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Q: x sin (x²) cos(x²), from a = 0 to b = x 2

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Q: 3. Find g'(x) if g(x) = sin³(4x) %3D A. cos (4x) B. 3 sin?(4x) cos(4x) c. 12 sin (4x) cos(4x) D. 4…

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Q: n/2 1+2cos x Q:Evaluate: dx. (2+cos x)*

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Q: 2- The integration of f x²sin (x³). dx is: (a) cos (x³) + C (b) cos (x³) (e)금 cos (x3) + C (d) 글 cos…

A: According to the bartleby guidelines, for more tan one question asked only the first question should…

Q: f1(x) = sin(x1) cos(x2), T f2(x, y) = xy, f3(x) = xx¹, € R² x = x, yern XER"

A: Given the following functions                  f1(x)=sin(x1)cos(x2),   x∈ℝ2f2(x, y)=xTy,   x, y∈ℝn…

Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: y = x cos(In x)+x² In x²

A: d dx(cosx) = -sinxddx(lnx) = 1xddxx2 = 2x   Product rule u.v = u'.v + v'.u

Q: E(- 1y**cos(nx) n=1

A: see 2nd step

Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

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Q: b. f(x) = -3 cos [4 (x -+ 2

A: Givenf(x)=-3cos[4(x-π8)]+2.

Q: e Cos 5. J1-x2 -1 COS

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Q: The derivative with respect to x * 2cos? (x2 + 2) is A. 2sin (x2 + 2) cos (x2 + 2) B. -2sin (x2 + 2)…

A: We will solve the problem.

Q: 1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e

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

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Q: 6. y = C, cos x + C2 sin x + C3 cos 3x + C4 sin 4x ; C1, C2, C3 and C4 are arbitrary constants

A: The given equation is, y=C1 cos x+C2 sin x+ C3cos 3x+C4sin 4x Differentiate this equation up to the…

Q: 23. fx² sin 2x dx is a. b. x² cos 2x -x sin 2x-cos 2x + C x² cos 2x -x sin 2x + cos2x + C -x² cos 2x…

A: Given problem:-  ∫x2 sin(2x) dx

Q: The value of A.cos(x²+)+C cos (x² + + C fx sin (x²+3) de dx B. - cos (x² + 5) + C D. -cos (x²+)+C

A: Option (B)

Q: Q7: Í sin(3z)cos(4z) dz = a)cos z- cos(72) + C b) -tcus x -os(Ix) + C %3D Qe S sin'x cas d = 2).

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Q: O f (x) = -6 sin(3x + 1) cos(3x + 1)ecos"(3+1)

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Q: i. Jsin xcos 2x - sin 2x cos xdx

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Q: (5) Use the Intermediate Value Theorem to prove that xe* = cos(x) has a solution.

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Q: 9. Evaluate y' of y = e-2*sin3x a. 3e-cos3x- 2y b. 3e-cos3x- 3y c. 3ecos3x - y d. 3e-cos3x +y e. Not…

A: Explanation of the answer is as follows

Q: 7 (a² +b°) 1 Prove that : dx = ở (a sin x+ b° cos² x)' 4a’b?

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Q: F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4…

A: Use the following formulas to calculate the Fourier cosine transform. Fee-ax=2πaa2+ω2…

Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

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Q: a Show that (sin(m + n)x + sin(m – n)x) b Hence, without using the product rule, differentiate sin…

A: We will find out the required values.

Q: (b) Prove that 2 -3/2 Js12 (x)dx = sin xy + C. 'COS X x2 x3

A: We have to prove ∫x-32J52(x)dx=2πcosxx2-sinxx3+C

Q: (5e" + 6x + 5 cos z)da

A: The solution is given below

Q: J (sin 3x)² = sin 3x xp- sin 3x CO = sin 3x xp- sin 3x On simplifying further, y2 (x) = cq sin 3x /…

A: In this question , constant is to be included in the last solution of the differential equation.…

Q: Prove that : n/2 1 dx (a'sin'x + b’cos'x 4a°b³

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Q: 4. f(x) = 2 cos(x – 2n)

A: Given:  f(x)=2cos(x-2π)

Q: 8. Evaluate (a). (20-0y di (b). / COS I sin(sin x) dx -3

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Q: Sväsin(x³/2)dx= 2 들Cos(x3/2) +C A 2 -을cos(x3/2) + C B 2 O -2cos(x³/2+Cc) C D) 을/Xcos(x3/2) + C

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Q: n3xcsC3X)ax 3. S sin2xcsc3x+cos²xcsc3x

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…