= 0 If 2 sin x cos x + V2 cos x = 0. 0, then %3D %3D or

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

A:

Q: 3. Solve: cos xdx + ( 1+ | sin ædy = 0 %3D

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Q: 2. cos?x dx =x+ sin 2x + C X_SO

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Q: Solve the fllowing D.E +4y= cos x - sinx 2. CoS X %3D

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Q: x = cos(30), y = 2 sin(0).

A: The parametric equations are given as, The the corresponding derivatives are calculated as,

Q: Solve for the value(s) of x over the interval 0 < x < 360 2 cos x + 1 = 0 %3D

A: We have to find values of x over the interval 0&lt;= x &lt;= 360 of the equation 2 cos (x) +1 =0.

Q: TT sin 0 – cos 0 2 19. у 21. y = x² – cos x

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Q: e) y = In(cos 4 x) f) y = sin² x y = In(cos(e3*)) g)

A: We can solve using first order differentiation (using chain rule)

Q: sin x – e-* = 0, [0,1]

A:

Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

A: Given

Q: S sin x (1+ cos x) ecos *dx 2. S csc ³ () do 1.

A: 1) Given:       ∫sinx1+cosxecosx dx Integrate by parts:         ∫fg′=fg-∫f′g here  f=1+cosx→f'=-sinx…

Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

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Q: If k0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to [−sin(kx) + sin³(kx)] + C the…

A: To evaluate the integral.

Q: 1/4 (sin x + sin x cos x) dx 0.

A: given

Q: Pre cal How do I evaluate?

A: Given expression

Q: (a) e3 sin 2x da sin 2r (b) x* In x d.r (c) sin r cos rdr 3. (6)

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Q: 15. For fe' cos x dx, what is du? cos x e' dx - sin x dx G(e* cos x + e" sin x) + C

A: The given question can be solved as shown in step2.

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: 37. y = sin x + /3 cos x, -2<x< 2m

A: Answer: The curve is shown below:

Q: Find the smallest positive solution of cos x = eX; x0 = 1 by iteration.

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Q: Find the solution(s) of the equation sin (x + 1) = v2 cos e within the interval 0 < x < 27.

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Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: 1 dx x +c, find- dx exactly where c is a constant. 5. If 1+cos x = tan 2 X 3+3 cos 4 n dx tam S c /+…

A: It is given that

Q: Solve for x, if 0 Sx S27. Write your answers in exact values only. sin x+ 2sin x cos x= 0

A: We have to solve the trigonometric equation for the condition 0≤x≤2π, sinx+2sinx cosx=0 Solving the…

Q: 2. Find cos ec (In x) dx . x1+ cot(h x)

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Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

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Q: 4. f cos? 2x 4. cos? 2x sin 2x dx 2 2 5. f sin¹¹ ²3x cos / x 3x dx

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Q: find sin x cos? x dx 75. 76. sin 2x sin (cos 2x) dx er dx et + e* (e2x + e)² dx 77. 78. x + 1 e* + 1…

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Q: If sin x = siny = a and cosx = cosy = b, then cos(x-y) is Select one: O a. z2 + a² O b. 2b + 2a O C.…

A: Given  sin x = sin y = acos x = cos y = b Use cos (x-y) formula cos(x-y)=cosx cos y + sinx sinysin…

Q: 4) Find when y? – x² + cos(x + y) = 0

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: 9. cos (2t) dt 10. " sin?t cost dt /2 11. sin'x cos?x dx 12. (2 sin0)² d®

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Q: Q5. If x= a.sin 0 and y = b.Cos 0. Eliminate 0.

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Q: The antiderivative of Cos(3x)

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Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: 6. S sin*(e³*) cos(e³*) e³× dx

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Q: Sz cos6 x sin? x dx 0.0053 0.035 0.0033

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Q: 1 dx J 3 sin x+4 cos x+3

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Q: 0 sin√xcos√x √x dx is equal to

A: To solve the given integral

Q: Find the solution of the equation =e* cos y hich tends to zero as x - 0o and has the value cos y…

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Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx

A: 4) Given:        ∫1-cos4udu Apply linearity:    =∫1 du-∫cos4u du     =u-∫cos4u du

Q: S cos(e) In (sin(0))d0

A: We take the help of integration by parts in solving this problem

Q: 2. If x = 2 sec 0 and 0<0< T/2, then %3D (a) sin 0 = (b) cos 0 (c) tan 0 =

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Q: Solve for x where 0 <x < 2n. a) cos (a + ] V2 sin æ b) 5 cos? x – 13 sin x +1 = 0

A: a) The given equation is cosx+π4=2sinx. Solve the above equation as follows. cosx+π4=2sinxcosx…

Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

Q: 9) S 2 cot 2x cos x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: y = tan x sin (2x)+cos (2x) 2 y' = A sin (Bx) + Ccos(3x) 3. A = B = C =

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: sin x dx 1+ cos2 x 31. T/2

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…