cos 2x,1+ cos 2x -)² dx 2 - 2

Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

A:

Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: 2. y = sec- (6a2 –- 3x + 2) 3. y = (8x – 6) sin (8x – 6) 4. y = cos- (8x - 4)

A: As per the guidelines, I can solve only first 3 parts. Kindly repost for remaining parts

Q: sec²(,Æ) 24. dx

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Q: 2 cosx+3 cosx=2, 0Sx<27

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Q: 4 cos 4 cos dx () х3 sin3 4 - у4 - х dx

A: (1) using integration by substitution∫4 cos1x2x3 sin31x2 dxlet   sin1x2=udifferentiate both…

Q: 2cos^2(?) sin3? dx

A:

Q: (g) tan sec2 dx (c) sin“(3x) cos (3x) dx CoS'

A: Given: I1=∫sin43xcos33xdx, I2=∫tan4x2sec2x2dx

Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then…

Q: 6. cos x(csc x secx) secx) cotx

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Q: sec2 (을) dx 23

A: The given integral is ∫sec24x2x3dx.

Q: Express sin(x +y+z) in terms of cosine and sines of x, y, z.

A: Associative Law: A+B+C=A+B+C=A+B+C Distributive Law: AB+C=AB+AC Left distributive lawA+BC=AC+BC…

Q: (1+cos3x)² -dx sin23x

A:

Q: cos 4z - cos 2z =

A: cosx−cosy​=−2sinx+y2sinx−y​2​

Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: 3- y 4 cos 3t - 2 sin 3t

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Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: 1 sinx # 1-cos2x ẩu! (6 2

A: Given query is to find the value of the limit.

Q: السؤال 4 lun cos (플ev)-

A: We have to choose the correct answer

Q: ∫((cos3x)/(1-sinx))dx

A: We have to find the integration.

Q: 10) cos sec-¹ 2√√3 3

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Q: ∫sin5(6x)cos(6x)dx

A: ∫xn=xn+1n+1+C

Q: sin(2x) 2+ cos(2z) da ++

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Q: sec(2) tan(2) – 1 dz 3.

A:

Q: sin 5a - sin 2a ]sinO OcosO olo

A:

Q: sin 2x cos 3х dx

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Q: I3Jsin'x cos x dx .6,

A:

Q: 1) y = 3sin(x) 2) y = 2sin(3x) 3) y = cos(-)

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Sz sin2m-10 cos2n-10 —— В (т, п) 2

A: It is known that, βm,n=∫01xm-11-xn-1dx

Q: sin(2r) cos(2x) +1 2. Prove: csc(2x) + cot(2r). %3D COS

A:

Q: Evaluate the integral.

A: Given integral is ∫sin2xdx1+cos2x. Consider a=1+cos2x. Then da=-2cosxsinxdxdx=da-sin2x

Q: Calculate ∫9sin^4(x)cos^2(x)dx

A: Given: ∫ 9 sin4 x cos2 x dxFormula: cos2 x = 1-sin2 x…

Q: [sin³ (2) cos(4) dx

A: Follow the procedure given below.

Q: cos dx 5. Vaš sin² 3

A: Consider the integral: I=∫cos6x23dxx25sin23x23

Q: 3) (sinx + cos x)² = sin 2x + 1 COS %3D

A: We have to prove that  (Sinx+cosx)^2=sin(2x)+1

Q: sin 2t cos 2t dt 1 +3 cos 4t

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: cos 2x cotx-1 1+sin 2x cotx+1 20

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Q: 2Cos 2x- Sin20-2

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Q: 1- cos 4x 9. sec2 2x – 1 = 1+ cos 4x

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Q: 3. у %3D tan1(sinh 2x) Зсosh-1 (csc) 4. у %3 CSC

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Q: sin(13z) sin(9z) dz

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

Q: If siny=x^2 Then find the value of cos2y

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Q: -2 -4 -2 -4 2 sin -2 1 2 cos -2 1 = I. %3D 4 2 2 5,

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Q: (yezy cos 2x - 2e sin 2x + 2x) + (rezy cos 2x − 3)y' = 0

A: given differential equation can be written as  (yexycos2x-2exysin2x+2x)dx+(xexycos2x-3)dy=0 ∵dydx=y'…

Q: etan 4s | (cos (cos 4s)2 ds

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Q: —2х Se-2x sin 3x dx

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Q: sec(x)cos(3x)=0 from [-pi/2, pi,2]

A: sec x cos 3x=0          [-π/2,π/2] sec x (4 cos3x - 3 cos x) = 0 [cos 3x= 4 cos3x - 3 cos x] 4 sec x…

Q: | sin5 cos cos – dx 3

A: The given integral is ∫sin5x3cosx3dx

Q: 1 Cosx %3D secx+1 COSx+1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…