sin²x dx cos x

Q: 3. Sin x dx 3- COS

A:

Q: 5) y"-y'-2y=x+cosx

A:

Q: (a) Evaluate| cos (4x) -dx. (1+ 2sin ( n(4x)*

A:

Q: sin x dx 4 3 Show that -

A: The integration can be written as;

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

A:

Q: y = ce2x cos 3x + c2e2x sin 3x

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

Q: 24 dx Evaluate 1- cos (8x) 24 dx 1- cos (8x) | I3D

A: Using trigometric identities

Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

A:

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: 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: sec42x -dx tan 2x 1 1 12 tan 62x Find 1 1 A 16 tan 82x ⓇB (cor -=— 1+3csc²2x 12 cot82x) (4sec 22x-1)…

A: Evaluation of the indefinite integral by using substitution method

Q: tan( tan3x)dx Evaluate: cos²3x A 3 -In sec(tan3x)| + C B -n|cos( tan3x)| + C In|cos (tan3x)| +C (D D…

A: the given integral,      ∫tan(tan 3x)dxcos23x

Q: = Vx* – - 4 cos x+/7x %3D

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Q: 6. Evaluate A sin³ x cos4 x dx.

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Q: sin2xdx 1) S7 o sin+x+cos4x

A:

Q: 1 sin(2x): -1 sin(2x) 125 %3D (D²-1) True False

A: 1(D2-1)3sin(2x)=1(-22-1)3sin(2x)                             =1(-5)3sin(2x)…

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: a) ㅠ 3 cos x sinx dx

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Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: 2 cos(2z)- V3 = 0.

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Q: Eliminate arbitrary constant. y=C1 sin 3x + C2 cos 3x + 9x2-2

A:

Q: 5. f sin$22x cos22x dx

A: The given integral is  ∫ sin522x·cos222x dx

Q: 3 + cos 3x dx Evaluate sin 3x

A:

Q: -2/√√/3 dx x√√x²-1 • [²/²2 (x + 12/²3). dx sin² π/6 28. • √2 30.

A:

Q: 2.5 1 –dx 1+ sin x – cosx COS X 1

A: Solution

Q: h(x)= sin¯' 3x– 6x sec x² -1

A: The given function is  h(x)=sin-13x-6xsec-1x2

Q: сп/2 Cos 2x d.x 11 Jo

A: V

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

A:

Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

A:

Q: BIARI dr x Cos (1-1)dt b) sin² x c) cos³ x d) - cos²x

A:

Q: 24 dx Evaluate 1- cos (8x) 24 dx 1- cos (8x) %3D

A: We have to find the integral of given function.

Q: (b) cos x = 0.549

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

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Q: اثبت صحة المتطابقة التالية Cos(2x) = 2Cos²(x) – 1

A: We know that . Cos(2x) = Cos2(x) - Sin2(x) .............(*)

Q: у%3D sin(4x — 2) cos (4x + 2) || -

A: topic - derivative

Q: sin x dx 2 (1+ cos x)² 12.

A:

Q: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx

Q: xp sin 5x cos 3xt cos 5xsin 3x xp x²+ 2x + 5 EX Find:

A:

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

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

A: The solution is given below

Q: D Sin 2x 46 4 Sin -3 = -3%3D

A: (a) Given trigonometric equation is: sin 2x = 4 cos 2x We have to find the general solution.…

Q: 2. cos(4x) = 1 – 8(sin(x))²(cos(x))²

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: Evaluate D6(cosx+e-2*) (A sin x +64e -2 B cos x – 32e-2r (c - sin x – 32e-2x cos x + 64e -2x |

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Q: 4. f(x) = 2 cos(x – 2n)

A: Given:  f(x)=2cos(x-2π)

Q: tan( tan3x) dx Evaluate: cos²3x A - In|sec ( tan3x)|+C 3 B -In|cos( tan3x)|+C В 3 © In|cos(…

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Q: 2. (sin20 - 2p cos O) dO = 2dp

A:

Q: cos (x2 + 3x +5 ) COS

A: Solved below