If 0 = then 6. sin(0) = %3D cos (e) = %3D

Q: √zez dz

A:

Q: 2.1 Given that sinh x = [e" – e=*] - - show that dy cosh a. da

A: To Determine: show that dydx=cosh x Given: we have sinhx=12ex-e-x Explanation: we have…

Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

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Q: cos 5x dx 2. S 3 + sin 5x

A:

Q: 5. S(sin3x + cos2x)²dx

A: To find : ∫sin3x+cos2x2dx

Q: dx of SC 1+ cos X

A:

Q: on of period 2 pi in t. (x+sin r)(x

A: The differential equation is given as, dxdt=x+sin2tx-esint Let x=ft be the solution of the…

Q: of cos 2 2 sin 0) de has the form 1 -F 4 sin lue of 0 to make F(0) =0?

A:

Q: 1 Evaluate [ (x³ +cos(3x))dx 2

A: The given integral is ∫x3+12cos3xdx.

Q: If x = Cos0 + Cos 20 and y= Sine+ Sin 20. Show that : i) x'-y' ii) 2xy Sin 20 + 2 Sin30 + Sin40 Cos…

A: To show that i) x2-y2=cos2θ+2cos3θ+cos4θii) 2xy=sin2θ+2sin3θ+sin4θ

Q: 4. Evalaute cos(x) sin(x) dx

A: Given:

Q: establish each identity.

A: Given  The identity is ln sec θ=-ln cos θ

Q: 9. If y = costhen the second derivative is 5x 25 Cos, 16 5x 5x sin- 4 d. 25 5x sin- 4 a. 25 b. C -25…

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Q: S 3. sin°ydy 1+ cosy

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Q: 1. y = In (3 – 4 cos x) + (4x – 5)5

A: 1). Given function is y=ln3-4cosx+4x-55. To find: dydx Solution: Power rule of differentiation…

Q: 7. S sin3 4 x cos5 4 xdx

A: To find the integration

Q: 3pi

A: 1.Cos(x-y)=Cosx*Cosy+Sinx*Siny 2.Sin(x+y)=Sinx*Cosy+Cosx*Siny In a right angled triangle, 3.Sin X =…

Q: (1 + cos 7t) 2 sin 7t dt

A: Here we use u-subsitution to evaluate the integral. d(cosx)dx= -sinx

Q: 5. | sin (Tx) cos (Tx) dx

A:

Q: laploce ď ļ cos' at} 2

A:

Q: 2 Cos 4xdx

A: The objective is to find the value of given integral.

Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

A: We have to solve

Q: 2 sin(30) cos(30x) dx

A: Given integral is ∫0π2sin30cos30xdx

Q: Please I want solution of question 8 with step by step. Many Thanks

A:

Q: 2. In π 2 π ln - 4 e* cos(ex) dx

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Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2

A: Let's solve  for x value.

Q: (7) Find sin(5x) cos(4x) dx

A: Topic:- application of integration     Note:- as per our guideline if more than one question…

Q: Problem 5 Evaluate the definite integral.  ∫sin^2(6x)cos^2(6x)dx=__________________  (upper limit=7,…

A: Evaluate the integral

Q: 5) coS I sin rdr

A:

Q: 5. (1+ cos 3x ) dx

A:

Q: _5. In the equation y = sin-1 x, if = , then y= TC %3D %3D %3D

A: 5. In the equation y=sin-1x , if x=12 , then y=π6. The given statement is True, The reason regarding…

Q: 4 sin' 2x cos 4x dx 4.

A:

Q: 5) (x3 cos 9x dx

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Q: 22 Evaluate s cos (Iz)e dz

A: Formulae used: ddxcosx=-sinxddxsinx=cosx∫eaxdx=eaxa∫cosxdx=sinx+C By party integration formula…

Q: (9) ſ cos(x²) 2xdx sin x? + c cos x2 + c Option 1 Option 2 sin 2x + c

A: We will substitute  x2 = t

Q: 1. / cos" (2t) sin² (2t) dt

A: 1.

Q: 4 cos* 3xdx

A:

Q: 1. f/² sin (1) cos (4) Sir sin (²) dx (Consider initially the first 2 terms)

A:

Q: 10. 4 COS dx 2

A: the given integral is: ∫cos4x2dx we have to evaluate the given integral.

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

A: We have to evaluate the given integral

Q: Where does the periodic function ƒ(x) = 2e^(sin (x/2)) take on its extreme values and what are these…

A: Given,

Q: 1) fcoe cos x sin rdr

A:

Q: 2 Recall thal cos-x= arccos x, Find /2 X Sin (cos x) dx. C.

A:

Q: 2 Arc cos (1- y=

A: Given,   y=2arccos1-x2+4x-x2.   It is differentiated as follows:…

Q: If csc 0 = 2, calculate an e sec () sin² 0 exactly.

A: We use cosec x=1/sinx and tanx=sinx/cosx,secx=1/cosx. See 2nd step.

Q: Suppose that 3π/2≤θ≤2π,  csc(θ)=11/4, find sin(θ)=______. (round to 3 decimal places)

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Q: 2. 6 cos 2x dx

A: To evaluate the given integral.