Use integration by parts to evaluate 2x cos (x) dx -x?cos (x) +c - 2x cos (x) + 2sin(x) +c x?sin (x) + 2xcos (x) +c 2x sin (x) + 2cos (x) +c None of the other answers F 2x sin (x) – 2 cos (x) +c

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: sin (t) -dt 3 (4+ cos (t))?

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Q: Evaluate / 4 x cos(x)dx Ox sin(x) – 4 cos(x) + c 04 sin(x) + 4 x cos(x) + c 04 (x sin(x) + cos(x)) +…

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Q: 4 sin x f(x) 2 + cos x

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Q: cos2x – sin2x cos2x For +C: What is F(x)? dx= 3 cosx - sinx

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Q: Jim and Jane would like to purchase a home theatre system for their newly renovated home. After…

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Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: Suppose S (x) =sin(3x – 2). Evaluate: /f(x) dr A - 3cos(3x – 2) + C (A) (B ® --cos(3r – 2) + C ©…

A: Given, f(x) = sin3x-2To evaluate:∫f(x) dx This can be done as follows:

Q: fip xp COS T 2. Oa) 2x sin(x) cos(2x) P-sin(2x) d- sin(x)+2x Osin(x) acer

A: y=cos (x2) We need to find dydx

Q: What is (cos x + x) dx? O-½ sin²x + x²/2 + C ○ -sin x + x²/2 + C O sin x + x²/2 + C O. ½ sin²x +…

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Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: x* + 3 dx x² + 3x + 1 4. 00

A: Given: ∫-∞+∞x4+3x2+3x+1dx

Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: dx x4+16 Įtan-( x2 + c 4

A: Given that, ∫xx4+16dx

Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: S cos(7x + 5) dx = (sin(7x+5))/7 + c* O False O true

A: We have to evaluate   ∫ cos(7x + 5) dx

Q: Evaluate L{2t e2t sin (3t) – e3(1-1) + 3et sin (4t – 5)}

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Q: Q: Solve y+8= Cos (x) ナ3sin(2x)

A: Given: y''+y=cos x+3 sin 2xCE: m2+1=0⇒m=±iCF: e(0)x( Acos x +B sin x)=Acos x +B sin x

Q: Integrate the square root of sin (In x) dx * O x/2 [ sin (Inx) + cos (Inx)] + C x/2 [ sin (Inx) -…

A: Given

Q: Compute | a° sin(æ" + 2) dæ.

A: Given : ∫x6sinx7+2dx

Q: n/4 1+sin x 7. So cos (x)

A: We will solve the following.

Q: O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

A: Integral

Q: Finding the Center and Radius of a Sphere In Exercise, find the center and radius of the sphere. See…

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Q: 7s+15 Find L-1 s+2 O 7 cos (v3t) + sin(v3t) O 7 cos (v2t) + sin (v2t) O 7 cos (v2t) + sin(v2t) O 15…

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Q: Evaluate / 4x cos(x)dx

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