1. Solue cos ( x - 2) = 7

Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one…

Q: 4. y = 2Cos(x)Sin(2x) – Sin(x)Cos(2x) %3D

A:

Q: 1 - cos 4x 1 + cos x dx

A: The given integral,     ∫1-cos4x1+cosxdx

Q: 5. S(sin3x + cos2x)²dx

A: To find : ∫sin3x+cos2x2dx

Q: S sin5 3 x cos' 3 xdx

A:

Q: 9. Sin 2X dx COS 2X

A:

Q: 28. Cos xdx

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

Q: 9 sin5(x) cos³(x) dx

A:

Q: 5 cos2(x) sin(2x) dx

A:

Q: 15. cos³ 3x 3√√/sin 3x dx

A:

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: y = sin' x- cos 3 – cos' x cos³

A:

Q: 7/2 S 3 cos (x) sin°(æ) dx =

A:

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

Q: 6. Suppose you wish to differentiate g(x) = sin²(x)+cos²(x). What is the fastest way to do this, and…

A: Given,

Q: establish each identity.

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

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: 4 sin 6x cos 3x dx 1. %3D - 9.

A:

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: 2. 1- x2dx cos(x + 1) dx 3.

A:

Q: 7. S sin3 4 x cos5 4 xdx

A: To find the integration

Q: (2) S sin6 x+cos6 x sin³ x cos³ x dx

A: See this solution in below.

Q: (2 cos 2x+ 3 sin 2.x) 7. evaluated at x = 1 rad

A: Given query is to find the value of the expression at x = 1.

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: cos 4x cos 2.xdx 3.

A:

Q: integral cos^7(4x)

A: To find the integral

Q: 12) Given y = 2 sin2x Period = b 3D Period = 1-- -1- -2

A: Solution: Give y=2sin2x Now use the form [a sin(bx-c)+d] That implise a=2 and b=2   Period =…

Q: 14. Evaluate cos 3x+ dx. 2

A:

Q: 1. Solve the DE: (cos y- cos x)y' +cos y sin 2x = 0

A:

Q: i) L-- (In) L- | s-3 6s+3 ii) L-1 iii) L(tet cos wt) s+1 sª+5s2+4,

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Q: Find an approximate solution, accurate to 5 decimal places, to the equation cosx=x2 that lies in the…

A:

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: 6. S cos32x sin*2xdx

A:

Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: We have given integral, I=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: For | cos 3x cos 4x dx :

A:

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: 13 20 Find for Two only of the following: dx 1- y=xtanhx 2- y =cosh 3x- sinh²3x

A: We have to find derivative

Q: 18. S sin xdx 2-cos² X

A: The given integral is: I=∫sinx2-cos2xdx    ...1 As we know the common integral; ∫11-x2dx=sin-1x+C

Q: 1. sin (3z) cos5(3z)dz

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to…

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

A:

Q: 3) If y = sin(2n), and x = cos(2n)

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

Q: "+25y 4r sin(51) – 2e" cos(5t)

A:

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: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: * /2 2 sinh (sin 0) cos 0 d0

A:

Q: 3 Differentiate: y = In cosh° (cos 2x)

A: As we know that: The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 From the given problem:…

Q: */2 2 cosx dx 1+ (sin x)2 -n/2

A: