I. Determine the general antiderivatives of the following functions: Show your solution . 7. f(x)=9x²-1 8. f(x)=x²-2 9. f(x)= x- 4 10. f(x)= 3x

Q: is The antiderivative of the function f(x) =. 2x а. 2 In x + c b. 1

A: Givenf(x)=12xAntiderivative of f(x)=?Antiderivative is nothing but integral.

Q: Any two antiderivatives of f (x) differ by a constant.

A: We need to check whether two antiderivative of f(x) differ by a constant.

Q: Find the antiderivative F(x), if f(x) = and F(2) = 0. 1. 1 A. x'2 1 1 В. 3 C. 8 3 3

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Q: functions

A: We have to find the antiderivative of the given function according to the given information

Q: Find the general antiderivative of f(x) = 3x + 15x-2 and check the answer by differentiating.…

A: ∫ xndx = ((x n+1)/(n+1))+C  Power Rule: (d/dx) (xn ) = nxn-1

Q: compute for antiderivatives f(x)= x2-2 f(x) = x(x-4) f(x) = 3x2+2x+1

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Q: Find the general antiderivative of f(x) = 23x + 14x-2 and check the answer by differentiating.…

A: Given:- f(x) = 23x+14x-2 To find:- Anti derivative of f(x)

Q: J (금2 + 3z2 +1) dz 4. 6) dx 5.

A: 4) the integration of the integral is 3z4/4 +3z2+1 5) the integration of the integral is  -2x5/3 -6.

Q: 8. Find the antiderivative of the following functions: a) f (x) = 3 b) f (x) = 2x c) f (x) = 5x

A: We have given to find derivative of the function  a) f(x) = 3  f'x = ddxfx f'x=ddx3 f'x=0 b) f(x) =…

Q: Consider the function f(x) = 9x8 + 5x® – 4x° 4г* — 3. Enter the general antiderivative of f(x)

A: An antiderivative is a function that reverses what the derivative does. One function has many…

Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

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Q: Find an antiderivative of the function f(x)=3−x.

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Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

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Q: The antiderivative of the function f(r) 3. +10x is + 20.0r 1 e 5.0a FC 10 1 1.5z c 3. 15.0z2 e 3

A: Use the basic integration rule ..

Q: c(x)=2x2-7x; c(0)=4,000

A: answer is in next step

Q: 10. Find the antiderivative of the following functions: a) f (x) = 12 – x b) f (x) = 8x³ – 9x² + 4…

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Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x +…

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Q: What must be true of F(x) and G(x) if both are antiderivatives of ƒ(x)?

A: For a function f(x) to be anti-derivative of F(x), f'(x) should be equal to F(x).Similarly, for g(x)…

Q: 4 + 8x is x2 The antiderivative of the function f(x) = %3D

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Q: Find the general antiderivative of f(x) = 4x – 5. Use Cfor the arbitrary constant. nswer F(x) =

A: Fx=∫fxdx

Q: Find an antiderivative F(x) with F'(x)=f(x)=7+18x2+14x6 and F(1)=0.

A: Find an antiderivative F(x) with F'(x)=f(x)=7+18x2+14x6 and F(1)=0.

Q: Find the general antiderivative of f(x) = + 5/E + C

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Q: Find the antiderivative F(x) of f(x)= 3√x that satisfies F(1)=2

A: The given function, f(x)=x3

Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: Whats the general antiderivative of the function f(x)=1/5-2/x

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Q: I. Determine the general antiderivatives of the following functions: Show your solution 1. f(x)= 4x5…

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Q: Find an antiderivative F(x) with (x)=f(x)=7+15x^(2)+18x^(5) and F(1)=0.   Remember to include a "+…

A: given: f(x)=7+15x2+18x5 F(x) is the antiderivative of f(x). that implies the integration of f(x) is…

Q: Find the antiderivative of f(x)=e^(-1/x)/x^2

A: The answer of the above question is given below.

Q: Find the general antiderivative of f(x) = 4x 4 - 6 T + C

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Q: Find the most general antiderivative of the function. 11.) 1-t 1 (1) =

A: Given

Q: Find an antiderivative of the function f (x) = 0.

A: Given:

Q: Find an antiderivative F(x) with F ′(x) = f(x) and F(0) = 5. f(x) = 6e3x

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Q: Find the general antiderivative of h(x) = 9x' Vĩ. Use Cfor the arbitrary constant. (If necessary,…

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Q: Find the most general antiderivative of f(x) 2x-1+x.

A: Given,            f(x) = 2x2 - 1 + x-2

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many…

Q: The antiderivative of the function 4 + 10x is. x2 f(æ) = 4 + 5.0x2 + c - -4 5.0x2 + c -10 + 2.0x2 +…

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Q: 4 + 9x is x2 The antiderivative of the function f(x) %3D

A:

Q: What must be true of F(x) and G(x) if both are antiderivatives of f(x)? Why is it important to add…

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Q: Consider the function f(x) = 2æ³ – 6x² + 8x – 9. An antiderivative of f(x) is F(x)= Aæ4 – Bæ³ + Cx²…

A: The given function is : f(x)=2x3-6x2+8x-9         The antiderivative of fx is the value of integral…

Q: The antiderivative of the function f(x) +10z is -5 - 5.0z2+c -10 +2.5z2 + c +5.0z2 +c -5 + 5.0r +c…

A: To find:∫5x2+10x dx

Q: 29. What is the particular antiderivative of f(x) = 6x whose y-intercept is -4? x2 – 1 a. y = 4 ln…

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Q: Find an antiderivative of f(x) 28. Assume that the value of the arbitrary constant is 0. Answer

A: Antiderivative of function

Q: Consider the function f(x)=5x^9+5x^6−6x^3−8Enter the antiderivative of f(x)

A: Given function is

Q: Find the most general antiderivative of the function. f(x) = 15x²-14x+8 O a. F(x)=6x²– 14x +C b.…

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Q: 1. Find the most general antiderivative of the function. 4x2 +x +5 (a) f'(x) = x2 1 (c) h'(x) =…

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Q: Find an antiderivative F (x) with F' (x) = f (x) = 7+24x3 + 10z4 and F (1) = 0. Remember to include…

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Q: f(x) = Vx2 + xVx %3D

A: