[a, b]. If F(x) is an antiderivative of f(x), for real numbers ¤) + k]dx is equal to

Q: Consider the function f(x) = 5x10 + 4x° – 2x* – 7. %3D Enter the antiderivative of f(x) + C

A: We have to find antiderivative

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 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: Consider the function f(x) = -. Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(3)…

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

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Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = 4e* + 4x²; F(0) = -5

A: Given query is to solve the differential equation.

Q: the most general antiderivative function Find f(e) Sx-4+3x %3D t has

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

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Q: Given f(x, y) = 3æ'y- 8ry. Compute: www dy?

A: This question can be solved using the concept of partial derivatives.

Q: Find the most general antiderivative F(r) of the function f(x) in each part: a) f(r) = 12r3 +4VT- e…

A: To evaluate antiderivative F(x) of the function f(x)=12x5+4x-ex+1 We know that∫xndx =xn+1n+1 +C ;…

Q: Determine the general antiderivative of the function. 1 8 (x) = %3D 1+4x² True or false? S (x) = ; ·…

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Q: Find the Particular antiderivative that satisfies the following conditions:   R’(x)=7-0.8x;  R(0)=2…

A: R'(x) = 7 - 0.8x Integrate both sides with respect to x: R(x) = 7x - 0.4x2 + C   {As integral of…

Q: Let F(x) be an antiderivative of f(x), with F(1) = 30 and | f(x) dx = -8. What is F(6)?

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Q: Find the most general antiderivative of f(x) = 8x° + 9 sec x tan x. Answer: (8)/(9)x^9+9sec(x) Σ

A: Please refer the attached image for complete solution. THANK YOU.

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: Consider the function f(x) = 10x¹0 + 3x7 - 8x4 - 2. An antiderivative of f(x) is F(x) = Ax" + Bx" +…

A: Given, f(x)=10x10+3x7-8x4-2

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

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Q: Consider the function f(x) = 3x° + 5x° 7x? – 5. Enter the general antiderivative of f(x)

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Q: The antiderivative of the function f(x)= - is 3x O a. 1 +c 3x O b. 1 In x + c 3 3 +c O d. 3 Inx+c

A: We need to find the antiderivative of the function f(x) = 1/(3x). So,…

Q: Let F(x) be an antiderivative of f(x). If F(1) = 12 and f (x) dx = 17, what is F(4)?

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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: Find the particular antiderivative of f(x): given F(8) = 2. %3D %3D 6x1/3

A: take the constant out-16∫1x13dxapply exponent rule: 1ab=a-b-16∫x-13dxApply power rule:…

Q: Suppose f(z) = r + sin z and F is an antiderivative of f that satisfies F(#) = 0. Then F(z) =

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Q: The antiderivative of the function S(x) = is

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Q: If F(t) d [F(t*)] is equal to is an antiderivative of f(t), then dt

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Q: Find the most general antiderivative of f(x) = 7e" – 8 sec? (x), where ř < x < 5.

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Q: Evaluate the following (general) antiderivatives, using an appropriate and explicit substitution:…

A: topic - indefinite integration note - As per bartleby guidelines, we are supposed to answer only…

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: Let F(x) be an antiderivative of f(x) with F(0) = 50 and | f(x) dx = 12. What is F(5)? F(5)

A: We use fundamental theorem of definite integral

Q: 17 If f(x)dx =17 and F(5) = 3, ( where F is an antiderivative of f(x)), what is the value of F(2)?

A: First we integrate using the fundamental theorem of calculus

Q: Find the particular antiderivative that satisfies the following conditions: f"(x) = 16x – 2; f(0) =…

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Q: Find an antiderivative of the following function, assuming y > 0. p(y) 6. + 11y + 1 %3D An…

A: Given query is to find the antiderivative of the function p(y).

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

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Q: Consider the function f(x) = 7x° + 9x° – 9 - 9. Enter the antiderivative of f(x) + C

A: T

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: Let F(x) be an antiderivative of f(x), with F(1) = 20 and * f (x)dx = -7. What is F(4)?

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

A: Antiderivative of function

Q: Find the most general antiderivative of f(x)=6e^x+5 sec^2(x), where -pi/2

A: Please see the answer below

Q: Consider the function f(x) = 6x' + 8x5 – 10x³ – 6. %3D - Enter the general antiderivative of f(x)

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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: Find the general antiderivative, F(x), for the given functions. a) f(x)=-sin? xcosx b) f(x) =/7-2x

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Q: Consider the function f(x)=8/(x^3)−3/(x^5). Let F(x) be the antiderivative of f(x) with F(1)=0.…

A: First, find the anti-darivative  of f(x) and then use F(1)=0 to find the value of the constant…

Q: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

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 [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx

Q: If y = (ax +b), where a,b e R, then the particular antiderivative function is А. F(аx + b) С. F ax +…

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Q: What is the antiderivative of f (x) = ? F(x) does not exist F(x) = (1/x)² + C F(x) = ln |¤| + C F(x)…

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