olve for the inverse fuction of f(x)=x/x+1

Q: S x²-x+1 x² + 2x + 2 2 -dx

A: We need to evaluate integral.

Q: = - 1) ex²-x dx x. Use the substitution method to rewrite the function in the integrand, (18x – 1)…

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Q: ction f(x)=-

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Q: 18 Find the inverse function of F (x) = 2 arccosx F-1(x) = _____ cos2x cos1/2x 2cosx

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Given a function f(x) = 9x+14x2-sin(2x)   To Find: A linear operator that annihilates the given…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We have to find a linear differential operator that annihilates the given function.  6x − sin(x) +…

Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point

Q: f(x) = ln(cos3(2x+1)5)     f'(x) = ?

A: Given that f(x) = ln(cos3(2x+1)5)

Q: solve using reduction of order (D^2+1)y=tanx

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Q: ropriate substitution, n³ (4x)cos*(4x)dx is equal to

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Q: Solve the integral. x5 + 3 1. х?(x2 + 2х + 1)

A: Given that  The integral  Using the partial fraction decomposition find the value of the integral

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Let D be the differential operator ddx, we have t find function f such that  fDgx=0, where…

Q: А. ELIMINAТЕ THE ARBITRARY CONSTANT/S IN THЕ EQUATION. 1. у%3D Ае2х + Вхе2х 2. у%3D Ах?+ Be-x 3.…

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Q: Solve for 0 <x< 2n. 4sin'x - sinx = 0 %3D

A: Solution of trigonometric equation

Q: Verify the identity.

A: Given: arctanx=12arctan2x1-x2. The interval given is -1&lt;x&lt;1. From the given interval, let…

Q: integral (x 2 + 2x ) cos x dx

A: The given integral is ∫x2+2xcosx dx. It is known that ∫udv=uv-∫vdu. Let u=x2+2x   and  dv=cosxdx.…

Q: sech? (In x²) 15. f x/6 tanh (In x²) – tanh² (In x²) dx

A: I = ∫ sec h2 (ln x2)x6tan h(ln x2)-tan h2(ln x2)dx=∫ sec h2(2ln x)x6tan h(ln x2)-tan h2(ln x2) dx=∫…

Q: f(x) = 2 arctan x + x %3D

A: f(x)=2arctan(x)+x

Q: EXERCISE 3 (INTEGRATION BY RATIONAL 1. Please answer the following questions. 2x +1 dx a)| x(x² +1)…

A: a) The given integral is ∫2x2+1xx2+1dx.   It is simplified as follows:…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: The annihilator of a function is a differential operator which, when operated on it, obliterates it.…

Q: sin x dx V2-cos² x

A: Given : ∫(sin x/√2 - cos2 x) dx     ....(1)   Let cos x = t   Differentiating both sides w.r.t. x -…

Q: 1 Sxsec - Svdu- Using Integration By Parts, >x tan x- u v- Find UV-

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Q: f(x) = cosh(sinh(x²))

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Q: Evalvate W (3x) - JEJds 8. %3D 6x+9

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Q: sin (2x) dx 2. ( (sin(In x) + cos(In x)]² dx xp: 3x/10 In(3x) – (1In(3x))²

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Q: QI) Find and For F(x.y) = where x = y = .using a) Direct For F(x,y) = ar method by substitution x…

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Q: 9. Solve tan x for x where 0<x<90* V3 Enter your next step here

A: Just observe that its value of tan(30°).

Q: sin(3x) %3D y(x) = 4+5cos(2x)

A: we have to derivative

Q: solve using variation of parameters or reduction of order. (D2 + 1) y = tan x

A: Given (D2 + 1) y = tan x

Q: antiderivate of y = sin x + 6x2

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Q: CNIVERSI Find if f(x,y) = y sin xy 3.

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

Q: Find the instantaneous rate: 1. f(x)=x²+9x+12; x=3

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

Q: sin 2x J-1 x* +x* – x² +2

A: Here we have to find the integration: ∫−11sin2xx8+x4−x2+2dx

Q: sinh-1x = In (x + vx² + 1) %3D

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Q: [sin(In x) + cos(In x)]* dx 3. xp: 3x/10 In(3x) – (In(3x))²

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: See the detailed solution below.

Q: find the most general antiderivative of f(x)= 2x^3 - sinx + 4e^x

A: We find the integral of f(x)= 2x^3 - sinx + 4e^x We separate the integral first.

Q: 5. у %3D е2*(с1 cos x + c2 sin x) 5. y = e2*(c1

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Q: x3 dx Using integration by parts to solve J- V4-x2 and letting -÷x², then v = f(x) is U = - %3D

A: We use integration by parts

Q: solve eYsin(x) -y'cos"x = 0 2. cos¯x=0

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Q: f(x) = VT cos x2 COS 2x f(x) = x² + 4

A: Given functions is, f(x)=xcos(x2) So, differentiating it with respect to x, we get,…

Q: Evaluate the indefinite integral. (2 + 12VX dx Evaluate the indefinite integral. | (x³ – 10x)(x4 –…

A: Given that some integration question we solve this integration problem by using general formulas of…

Q: Using FPI, find a critical point of the function: f(x) = x? – 2e* cos x With an initial guess, x, =…

A: Given function: fx=x2 - 2ex cos x Find the critical point of the given function Initial Guess:…

Q: V1+ sin (x5) e-y 2(Vx- 1) f-- cos {sin(2x*)} x-2 x2+3x

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Q: f(x) = x cos(x)+1 = x cos(x) +1

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Q: k. f(x)=cosh(x³)+ sinh(10x) 1. f(x)=In(x* +1)

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Q: 1. lim 3r+2r+1 X-n Sx2+7x+4 2. lim +sinx

A: See 2nd step

Q: sin x * 1 – t² dt 1 + t4 Differentiate f(x) = 1

A: