のSX 3 +23 +5y +5y = e + 40 Cos loX-190 Sin lox

Q: 2. LOshx-Sin hx1 2. Co

A: We use hyperbolic Trigonometry identies

Q: Q1/ Show that 3(sinx-cosx)*+6(sinx + cosx)²+4 (sinºx+cos°x) = 13

A: Note: We are entitled to solve only one question at a time. To Show:…

Q: Integrate  cos(8x) . sin^2 (8x)

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Q: sec 0 + In - 22+3 = -3 2 In y + 327 - 4 = 1+ cos 20 2/1+ (tan 0)2 + 2ln y+2 -3

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Q: -3x cos 2x da A) - cos 2x - 3x sin 2x + C B) - 2x- sin 2x +C s 2x - sin 3x + C D) - cos 2x - sin 2x…

A: Since you have posted multiple questions . As per the guidelines we will solve the first question…

Q: 2. tan3x(sec3x – cos3x) dx

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Q: sin 2 2xcos 2x cos 2x dx

A:

Q: 5х, 5x sin°(cos* () dx 5 4 6 6

A:

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: y = 2 sin 3x 1+3 cos2x

A:

Q: 2dx 2 2 cos x√ 4tanx - tan x S-

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Q: sin (3x+1)dx 4 cos (3x+1) C

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Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx

Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

A: To determine the derivative of given functions. Here we will use the following formulas-…

Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

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Q: 5. Find y', if y 2cosx sin2x – sinx cos2x %3D

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Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 1-cos 3x +C 3sin 3x dx 2. 1+ cos 3x

A: We have to prove given integral.

Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: cos(2x) dx 1 In |1 – sin(2x)|+c 2 - 1 – sin(2x)

A: Note: It is assumed that the question is asking to test of the validity of the given equation.   It…

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

A:

Q: 1. sin²(esin*r) + cos-(2t³ – 5)

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Q: coS(T/11)-cos(2t/11)+cos(3t/11)-cos(4Tt/11)+cos(5rt/11)=?

A: To determine the value of the below expression. cosπ11−cos2π11+cos3π11−cos4π11+cos5π11

Q: Evaluate. de (sin(5x – 1)] cos(5æ – 1) 5 - sin(5æ – 1) 5 · cos(5æ – 1) • 5· cos(x)

A:

Q: 1/sin ^2x + 1/cos^2x=1/sin^2x cos^2x

A: 1/sin ^2x + 1/cos^2x=1/sin^2x cos^2x

Q: Sz sin2m-10 cos2n-10 —— В (т, п) 2

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

Q: 2 , 1 + sinx +. D. cosx cosx il + sin.x

A:

Q: cos (3x) · (8 sin (3x) – 1) dx = %3D

A: Given that : The integral is ∫ cos ( 3x ) ( 8 sin ( 3x ) - 1) dx  .

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

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

Q: dr 5) J, (2z– 1)3/2 (2x – 1)3/2 4 cos( sin2( dr

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

Q: اثبت صحة المتطابقة التالية Cos(2x) = 2Cos²(x) – 1

A: We know that . Cos(2x) = Cos2(x) - Sin2(x) .............(*)

Q: 2. Evaluate 2 sin1ºx cos0x dx.

A:

Q: 1.) ∫(sin3x+cos2x)²dx

A: Evaluate: ∫sin3x+cos2x2dx

Q: у%3D sin(4x — 2) cos (4x + 2) || -

A: topic - derivative

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: 2 tan(2x) − 4 cos(x) = 0

A: Explanation of the solution is given below.... And solve the given equation.....

Q: Find cos(2x) Given that sinx= 4/5 and 0<x≤ pi/2

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Q: D Sin 2x 46 4 Sin -3 = -3%3D

A: (a) Given trigonometric equation is: sin 2x = 4 cos 2x We have to find the general solution.…

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: 8 sin(2x) cos(2x) dx

A: We have to evaluate the given integral

Q: 2 Sinx Cose - Cosx eE 2/CoS 3% t Cas ex

A: I am attaching image so that you understand each and every step.

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

A:

Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc…

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Q: 2. (sin20 - 2p cos O) dO = 2dp

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Q: Evaluate D(sinx - 4e2) (A -cos x-32 ex B cos x-32 ex -sin x-32ex sin x-32 ex

A: