Consider the function f(x) = 6x10 + 7x – 5x² – 5. An antiderivative of f(x) is F(x) = Ax" + Bx" + CxP + Dxª where - A is and n is and B is and m is and C is and p is and D is and g is

Q: For F(x) = x2 , F′(x) = 2x, making F(x) = x2 an antiderivative of ƒ(x) = 2x.

A: Given that Fx=x2. Compute the derivative. F'x=x2'=2x

Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

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Q: Consider the function f(x) = 16x³ - 21x2 + 6x – 8. Find F(x) an antiderivative of f(x). F(x) =]

A: Topic - integration

Q: Find constants c1 and c2 such that F(x) = c1xex + c2ex is an antiderivative of f (x) = xex .

A: Given: Fx=c1xex+c2ex is an antiderivative of fx=xex To Find: c1=? and c2=?

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 general antiderivative of f(x)=x3+6x+3x4−2√xf(x)=x3+6x+3x4-2x     + C

A: The given function is  f(x)=x^3 +6x+3x4−2√x  To find the anti derivative we have to find integration…

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: Consider the function f(x) = 5a°+ 5x® – 10x4 – 6. Enter an antiderivative of f(x)

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Q: Consider the function f(x) = 31°+ 9x' 10r° – 7. | An antiderivative of f(x) is F(x) = Ar" + Bæ™ +…

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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: Let f(x) x2 + 1 Enter an antiderivative of f(x)

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Q: Find all antiderivatives of function:  f (x) = e-3x

A: Consider the given function. fx=e-3x We have to find  I=∫e-3x dx   Substitute -3x=u -3dx=dudx=-du3

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

A: The given function, f(x)=x3

Q: Find the most general antiderivative of the functions: 1)f(X)= 2secxtanx-3sinx 2)f(X)=…

A: (1) Given, f(x) = 2secxtanx-3sinx  ∫f(x)dx = ∫(2secxtanx-3sinx )dx               = ∫(2secxtanx)dx -…

Q: 3 Consider the function f(x) = 5x° – 9x? + 2x – 6. An antiderivative of f(x) is F(x) = Ax* + Bæ® +…

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Q: Find the general antiderivative F(x) + C for the function. f(x) = 12x + 67 O 6x² + 6x + C O 6x2 +…

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Q: Consider the function f(x) = 2x³ + 71° – 8z2 – 8. Enter the antiderivative of f(x) + C

A: To find the antiderivative means integration of the given function

Q: If f(x)=8x^10−9x^−8−9^6√x what is the antiderivative of f(x)?

A: f(x)=8x10−9x−8−96x To Find: the antiderivative of f(x)

Q: Consider the function f(a) = 7x° + 5x° - 5x 3. Enter the antiderivative of f(x)

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Q: Find the general antiderivative of f(x) 3 – 4x* + - 5VT x3 Preview 2.

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Q: Consider the function f(x) = 5x10 + 9x° – 3x³ – 8. An antiderivative of f(x) is F(x) = Ax" + Bx" +…

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Q: Find an antiderivative of the function f(x)=1/x4.

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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: Consider the function f(x)=5x^3−4x^2+7x−2An antiderivative of f(x) is F(x)=Ax^4+Bx^3+Cx^2+Dxwhere A…

A: Given function is

Q: The antiderivative of the function f(x) 4 + 11x is + 5.5z2 + c 4 5.5x + c -4 + 22.0x2 + c -4 +5.5x2…

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Q: f(x) = 2x° –x + 5x f(x) = 3/x – 2x

A: We know ∫xn dx = xn+1n+1+C     n≠-1   where C is constant of integration.

Q: The antiderivative of the function f(x)= 8+ 11z is %3D O -5 + 2.8r +c O -5 + 2.8x + c 11 +1.2x + c O…

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Q: 3 If F(x) = 2x² x² is an antiderivative of f(x), find Provide your answer below: S-2f(x) dx = 1-2…

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

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Q: Find constants c1 and c2 such that: G(x) = c1xe^−x + c2e^−x is an antiderivative of g(x) = 3xe^−x.…

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Q: Let f(x)=6x2+1f(x)=6x2+1.Enter an antiderivative of f(x) . . .

A: The given function is,

Q: let f(x)=(3)/(x) - 8e^(x) Enter an antiderivative of f(x):_______

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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: + 11x is The antiderivative of the function f(x) = 4 + 5.5x² + c 11 + 2.0z² + c + 5.5z² + c -4 +…

A: Anti derivative is obtained by integrating f(x)

Q: Consider the function f(x) = 4x10 + 5x° – 5x² – 8. An antiderivative of f(x) is F(æ) = Ax" + Bm +…

A: F(x) is the anti derivative of f(x) , so to find F(x) we have to integrate the given function f(x).…

Q: 2. Find the most general antiderivative of f(x) = 3+22 %3D

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Q: Consider the function f(x) = 5x³ 8x2 + 5x – 3. An antiderivative of f(x) is F(x) = Ax* + Bæ³ + Cx² +…

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Q: Consider the function f(x) = 36x3 - 12x2 + 10x – 3. Find F(x) an antiderivative of f(x). F(2) =O

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Q: Find the general antiderivative F(x) + C for the function. 126+ 3x+ f(x) = x3 O 3x4 +x2 + C 3x* +x +…

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Q: Consider the function f(x) = 2x + 3x" – 7x² – 4. An antiderivative of f(x) is F(x) = Ax" + Bx" + CaP…

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Q: Consider the function f(x) = 9x° + 9x' – 10a? – 4. An antiderivative of f(x) is F(x) = Ax" + Bxm +…

A: Given: fx=9x8+9x7-10x2-4

Q: Consider the function f(x) = 6x° – 4x? + 2x An antiderivative of f(x) is F(x) = Ax* + Bx³ + Cx² + Dx…

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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: Consider the function f(x) = 2x° + 4x" – 8x² – 8. An antiderivative of f(x) is F(x) = Ax" + Bx™ +…

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Q: The antiderivative of the function f(x) = .9 + 9x³ is. 9. %3D -2 2.2x4 + c -2 + 2.2x4 -2 + 2.2x + c…

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Q: Show that F(x) = (x + 1)*(x – 2)3 is an antiderivative of the function f(x) = (7x – 5)(x + 1)³(x –…

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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: Consider the function f(x) = 8x - 8x2 + 4x – 3. An antiderivative of f(x) is F(x) = Ax* + Bx + Cx² +…

A: We have to find antiderivative of f(x) or integral of f(x).

Q: Consider the function f(x)=9x^3−4x^2+8x−1. An antiderivative of f(x) is F(x)=Ax^4+Bx^3+Cx^2+Dx. What…

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Q: 3 The antiderivative of the function f(x) = + 9x is x2 -3 4.5x2 + c 3 + 18.0a? + c 6- + 1.5x + c 3 +…

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