16) fx*«5 - 1)³ dx, u = x5 – 1 D) x30 - 1 +C 30 17) V9 - s4 S d, u-9-4 A) -45V9 - s4 + C -2 B) + C 2/9 - s4 C) -N9 - st . c 4s4 D) sin dx , u = - 5 1 sin 2 5 B) 2х 10 sin 4 1 A) 2х + C + C 1 sin + C 2 10 D) 10 + sin3 + C -- +

Q: dx 19) u = 4x + 9 4x +9 1 A) B) 2/4x + 9 + C + C + 9)3/2 1 + C V4x + 9 C) 2- S dx 20) u == 4x + 6 4x…

A:

Q: +2 Sar : x

A:

Q: 4) Consider the function defined by 10) = /3 (sin (5 + *)) (증+0)) +4 V3 sin (+t) + 4+ V/3 (cos G…

A: we have to show that f(t) is a constant

Q: -5 sinx dx I = =? ecosx +3e-cosx ) +c COSX a) arctan 3 cosx b) arctan + C

A: To find ∫-5sinxecosx+3e-cosxdx

Q: Evaluate L{te- cos 4t} g + 2s + 15 b) (s2 + 2s + 17)2 5' + 28 - 15 b) (s + 2s + 17) s - 2s - 15 c)…

A: Note : According to the company guidelines we can solve only first question please post other…

Q: (3Vr + 2e) dx.

A:

Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

A:

Q: Q1) find I+ Cos X | 1) \im メー30 Sin x

A:

Q: 2. Sinx- Cosh

A:

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

A:

Q: D2-2D- 3)y = 2sin x; y a. y = C,e™* + Cze* - cosx -sinx %3D COSX b. y = C;e¯* + Cze³* + =cosx – sinx…

A:

Q: 8- Evaluate a) Sz? + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) S 3x. csc² dx x3-9x2+8

A:

Q: The question says "Differentiate."   I attached my work below, but I'm not sure where the mistake…

A: The given function is,

Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

A:

Q: 1-Sin 2x Sin Ge)-Ces c -Sinc- Cosk 1- Sin 2x - Sinx+ Cosc Sinx-Casx -Sin x +CUIX - Sin le)(-Sine +…

A:

Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: f6)= Sin () (x 3x26x-8) 1 CosX In Ceos x) | $66)=Sinx+t Cosx. sinsetl -6()=DSin -2053 2.

A:

Q: valuate the integral using U-substitution x dx (7x2+3)5 1) S A)-(7x²+3)-6+ C C)-(7x² + 3)-4+ C…

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Q: Let flox) - I=39 1-3x %3D

A: Answer and explanation is given below

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

A:

Q: The general solution of (D²+2D+1)(D²+4)y=0 is A y=(C,+C,x)e+C,cos2x + C ,sin2r B) none of the given…

A:

Q: 7. Evaluate * (D5 – 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯x + Сze* +C₁е²x cos3x +C5e²x…

A:

Q: Find the edlution of the following equstions: (osx<r) a) cosx- casx =0 . b) tan2x = 3 tan X Sin8X .…

A: We have to solve the following equations.

Q: ex 3-4e2x 21) f dx

A: Given expression:  ∫ex3-4e2xdx

Q: The general solution of (D²-2D+1)y=2sin x A) y=ce*+C2xeX+sinx B) y=c1eX+C2xex+cosx y=C1eX +C,XeX…

A:

Q: 1) Use substitution method to evaluate ( sec?/x+3 Vx+3

A:

Q: The general solution of the equation (D*+D)y=-12 is y-+x+ccosx + c,ainx +6x ® y-c, + cx + cycosx +…

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Q: I/2 52) 5), 5/2 6] Sin23xdx Cos'xdx

A: As we know that; The trigonometric identities; 1). sin2x=1-cos2x22). cos2x=2cos2x-1   5). Given:…

Q: If y= x2 sin 2x, then y = А) 2х cos 2x B 2x (sin 2x - x cos 2x) C 2x (sin 2x + x cos 2x) (D) 4x cos…

A:

Q: 1 Find L-1 Ls2 +6s+18]

A: The given function is L-11s2+6s+18. The following formulae are used in solving the given function.…

Q: %3D sinset!

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

Q: 1) (D* t 180* + 81) y =0

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…