Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f(x) = 5x4 – 4x³, F(0) = 2

Q: Find the antiderivative F(x) of f(x)=x/3(12x2-6), given F(1)=5

A: An anti derivative of a function f is a differentiable function, whose derivative should be equal to…

Q: 1+х f[X_, Y_] := 2 у - 1-x (1+) (у-1)2

A: We will use basic knowledge of the functions of several variable theory to answer this question.  We…

Q: Consider the function f(x) = 8x° + 4x° – 10x² – 7. www. Enter an antiderivative of f(x). Do not…

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Q: Find the general antiderivative of f and check your answer by differentiating:    f (x) = 2x4 − 24x2…

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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: Which of the following is an antiderivative of f(x) = * - 2x* + 4

A: we have to find antiderivative

Q: Find the family of antiderivatives for the function, f(x) = 8 4x. Which of these pass through the…

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Q: Consider the function f(x) = 8x³ - 6x² + 3x - 8. An antiderivative of f(x) is F(x) = Axª + Bx³ +…

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C. Here C is integration…

Q: Find the family of antiderivatives for the function, f(x) = 8 12x. Which of these pass through the…

A: To find the family of antiderivatives for f(x) integrate f(x) with respect to x.

Q: Find the general antiderivative of f and check your answer by differentiating:    f (x) = 18x2

A: We need to find the general antiderivative of f and check your answer by differentiating:    f (x) =…

Q: Find the particular antiderivative F(x) of f(x) = 18x – 11 that satisfies F(1) . 8.

A: Given function , f(x)=18-x

Q: Consider the function f(x) = 5x³ – 7x? + 3x – 4. An antiderivative of f(x) is F(x) = Ax4 + Bx³ + Cx²…

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Q: Let f(x) = 4x - 8x. Find F(x), the antiderivative function, if F(1) = 3.

A: Let f(x)=4x2-8xTo find the antiderivative function F(x)if F(1)=3

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

A: Fx=∫fxdx

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: The antiderivative of the function f(x) 5 + 10x is

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Q: Find the general antiderivative of f and check your answer by differentiating. f (x) = 2x4 − 24x2 +…

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Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

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Q: Find the antiderivative F of the function f(x)= x^2 + 2x + 2 such that F(-1) = -1.  F(x) =

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Q: Find the general antiderivative of f and check your answer by differentiating:   f (x) = 9x + 15x−2

A: Given: fx=9x+15x-2 To Find: The general antiderivative of the given function and to verify answer by…

Q: For the function f, given below, find the antiderivative F that satisfies F(1) =0. f(x) =x - 3x-2 -…

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

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Q: Find the particular antiderivative F(x) of f(x)=4x−3 that satisfies F(1)=8.

A: The given function f(x)=4x-3, its antiderivative satisfies F(1)=8

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

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Q: Find the most general antiderivative of the following function. f(x) = 2e" - 8x %3D

A: Given that a function f(x) = 2ex - 8x We find antiderivative of this function.we know that…

Q: Find the absolute maximum for the function f(x) = re, x E [-1,3] %3D

A: Given :       function  f(x) = 12x2e-x       Interval  x∈ [-1, 3]    To find : Absolute maximum…

Q: Given the function, f(x) = √x + x, use linearization at x = 4, to approximate f(4.1)

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Q: Find the general antiderivative of f and check your answer by differentiating. f (x) = 18x2

A: Given function:

Q: Find f(x), the most general antiderivative of the function: f' (x) = 3x –

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

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Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? 3 -2 O -1

A: Solved below

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 antiderivative F(x) that satisfies the given condition. F'(x) = 4ex - 5x²; F(0) = 10

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Q: 5. Find the antiderivative of the function and check your answer by differentiating. f(x) = 9x +…

A: 5. We need to evaluate the antiderivative of the following function fx = 9x+15x-2

Q: Consider the function f(x)=2x8+10x7−4x4−6 Enter the antiderivative of f(x)

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Q: Consider the function f(x) = 9x° + 9x® – 6xª – 5. - 5. - Enter an antiderivative of f(x). Do not…

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Q: Find the most general form of the antiderivative, F(x), of the function f(x) = −3√x - √√x. Provide…

A: Given fx=-3x5-x3 To find antiderivative (Integration)

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: Consider the function f(x) = 4x° + 10x" – 2x³ – 9. Enter an antiderivative of f(x). Do not enter +c…

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Q: Find the general antiderivative, F(x), of the function f(x) = 2x -6x² +x+ 2.

A: we will answer the first question since exact one was not specified. Please resubmit the question…

Q: Find an antiderivative 1 2 of f(x) x - 2 x + 4

A: we have to find an antiderivative of fx=1x-2+2x+4 as we know that antiderivative of f(x) means…

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: Find an antiderivative of the function f(x)=e2x.

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Q: Let F(x) be the antiderivative of F ‘(x) = -2x + 6, with constant 0.  Determine F(x), and then…

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Q: The antiderivative of the function f(x) = .3+9x is

A: find the anti derivative (integral) of fx=56 .3+9x3

Q: Find all the extreme values and their types from the function f defined by f (x, y) = 2y3 + 2x3 -…

A: Given: f (x, y) = 2y3 + 2x3 - 3xy2 - 12x

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

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