dx Perform the Integrations 1+ sin x+ cos x

Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

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Q: tan Find -dr using integration by parts.

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Q: Show that J (x) = 2 sin x

A: By definition,                  . Now,  we need to prove the above statement by taking n = 1/2.

Q: cosxdx 3T +Sinx

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Q: Solve Initial value problem i. 8cos?ydx + cosec²xdy=0, y() = dy _ x(r+1) 4y3 y(0) =- 1/V2 ii. dx

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

Q: 11. cos4x-cos2 dx sin4x-cos2x

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Q: x – sin 2x -dx x + cos2x

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Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: Evaluate (2+ it)² dt and f sin(2it) dt.

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Q: /2 sin 2x dx Jo 3+cos (2x)

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Q: sin 2x V2 – cos 2x dx

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Q: #4 tan lun sec x dx 4.

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Q: T/2 cosx dx (4 +2 sin x)3

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Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: Ssin8 (3z) cos5 (3z) dz

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Q: Evaluate 4x cos(2-3x) dx

A: Given: The objective is to evaluate ∫4xcos2-3xdx.

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

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