The integral of the right hand member of the first order LDE +2r cote = sin2 e is: de A sin*e +C 2 2 sin3e -+C -2sin3e +C 3 -cos*e +C 2 D)

Q: Evaluate the following integral e cos9x dx Select one: O( e* /82 ) ( sin9x + cos9x) +C O( e* /81 ) (…

A: Given: I=∫ex cos9x dx

Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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Q: I hope the solution is understandable and not abbreviated

A: Given: fx=xe-x, x>0 We have to find the Fourier Sine Integral presentation of the given function.

Q: Prove using the IVT cosx = cos-1x has a solution in (0, 1).

A: cos x = x   rearrange to x - cos x = 0

Q: موضوع الدرس: Find the sewera (BY COS X + 4X +2x S * 6 ution of Jdx + (3 $ inx+3) dy ap

A: The given differential equation is         (3ycos x + 4xex + 2x2ex)dx + (3sin x + 3)dy = 0 We can…

Q: Se sin9vdv Select one: O a. O b. O c. O d. O e. -7 sin9v +9cos9v 130 7sin9v9cos9v 130 7sin9v +9cos9v…

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Q: S 3. sin°ydy 1+ cosy

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Q: -2 cos(6t) dt J (10+4 sin(6t))²

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Q: Evaluate ſe* 2x cos 2x dx cos 2x a) 2esin 2x + C b) -+c 2 c) ecos2x +c sin 2x e d) – +c

A:

Q: Given f (t) = t^2 and g ( t) = sin 2t, obtain the convolution (f * g). -ea* -1- cos21) -er -1- cos…

A: Convolution Theorem : f * g t = ∫0tf(u) g(t-u) du   Integration by parts : ∫uv dx = u∫v dx -…

Q: cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

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Q: L L'FCE)]> F(4) = 4 sin #t

A: The solution is given as

Q: S 1+cos(3x)dx

A: Given : ∫1+cos3xdx

Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

Q: Evaluate S" -2n 1 cos³ w sinsw dw 2 O - 1/2 O 1/2 O 1

A: Please find attachment for the details solution

Q: Evaluate the integral s sin³ (3x) cos³ (3x) dx . Osin¹ (3x) sin (3x) + C 12 18 -

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Q: The integration of cosx is

A: Recall: Definition of Integration:      In mathematics , Integration is a technique to finding a…

Q: Step by step

A: We will need integration by parts for this problem. So we assume u and dv then find du and v

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin3012 [cos 40+ i sin40]³[cos 20-i sin2015 using De…

A:

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40³[cos 20-i sin2015 using De…

A: Formula Used-  De Moivre's theorem: cosθ+isinθn=cos nθ+isin nθ cos mθ+isin mθcos nθ+isin nθ=cos…