j) S(sin³x cos x)dx

Q: dx Perform the Integrations 1+ sin x+ cos x

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Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

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

Q: m. n. Sex: [ tan³ x dx ex sec³ ex dx

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Q: J cos x sin x V1 + sin² x dx

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Q: O. p. S sin 2x cos 3x dx 3dx /1 + 9x²

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Q: J cos 2x sin 3x dx

A: To find: The integral of ∫cos2x·sin3xdx. Formula used: Trigonometric formula: 2cosA·sin…

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

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Q: 2FI 2 sin nx dx cos nx dx =0, where n integer. %3D !! 0.

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

Q: (a) J x cos x dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: T Cos x-sin x Jr x² dx So

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Q: (c) Show that the function z -- eX sin yt ey cos

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Q: y = (sin x +cos x) sec x = sec² x

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Q: Find integral.

A: The given integral ∫cosxsinx dx can be evaluated as, Put, cosx=t Taking differential on both sides,…

Q: fo (9 cos(x) – 2 sec²(x)) dx

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Q: COSX sin x dx 4. S 1-ఆశి అరికి న

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Q: 3. S sin x In(cos x) dx

A: According to company rule, we can answer only first question.

Q: If Z= x³ +y* +(x sin y) + (y cos x), Find (Zxx+ Zyy=?)

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Q: Take the derivative of this integral.

A: Given

Q: 17. Determine the value of fx dy - y dx, where x(t) = (cos 31, sin 3r), 0 ≤ ≤n.

A: The given integral is: ∫X x dy - y dx, where Xt=cos 3t, sin 3t, 0≤t≤π The components of the…

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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Q: find dy. = cos (x2)

A: Given- y=cosx2 To find- The value of dydx. Formula used- ddxcosx=-sinx.

Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: Show that sin x dx=1-cos t (0<x<t<}r).

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Q: d. t sin 2 dt COS dx 3

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Q: 6) F Sin12y Cos’ y dy

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Q: find dy/dx. y = x2 cos x - 2x sin x - 2 cos x

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Q: What is if z = x'y+ sin(xy²)?

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Q: Q2: Evaluate: * Jx* sin(1- x)dx?

A: use substitution method to solve the integral

Q: | sin t cos* t dt 9.

A: We have to evaluate given integral Concept:

Q: find dy/dx. g(x) = cos x/sin2 x

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Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

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Q: (5) J (x)dх sin³

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Q: S2(cosx)(sin2x)dx %3D 3.

A: .................(1) take  put all values in equation 1

Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

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Q: Find dy if sin x + 1 = cos y dx²

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Q: Evaluate / e*cos(x)dx using integration by parts-

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Q: e) Differentiate f (t) = (e-6t+ sin(2-t)) -9- %3D

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Q: Q1) Show that: (a) (1+x)° =1+6x :(cosx) = dx = -sinx (e)읊 = E d ( V) = (d) V1+ tan x = 1+;x dx 2 vx

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Show that Sx cos*x dx = (x² + x sin 2x +cos 2x) + c

A: Given: ∫xcos2x dx=14x2+xsin2x+12cos2x+C.

Q: sin vx dx (4) J J (4+cos²v)

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Q: X cos (3x) dx,

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Q: Q2: (a) Evaluate ſ cosx sinx V1 – sin4x dx.

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Q: Find dy dx (i) f (x) = Cos2x Sin²x

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Q: on the right. Prompts Submitted Answers D Ssin(3x)sin(4x)dx S(cos(x) - cos(7x)dx} Jsin(3x)cos(4x)dx…

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Q: Solve the fo llowing D.- E y + y tan X Cos X %3D

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.