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

Q: Find the antiderivative of: x*+1 (n+ 1)2 [(n + 1) In x – 1] if n± -1 x* In x dx = z (In x)² + c if n…

A: Find the anti derivative.

Q: Suppose that F'(x) = f (x) and G'(x) = g(x). Is it true that y = F(x)G(x) is an antiderivative of y…

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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: 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 of xe2x/(1+2x)2 from 0 to 1/2

A: Given the integral ∫012xe2x1+2x2dx

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

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

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Q: Reducible to Homogenous method dy X-y-3 x-y-1 dx

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

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Q: 3. Find an antiderivative of the function (x) = 3.x° – +

A: The anti derivative of f(x) is

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

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Q: 23. Find the most general antiderivative of the functions: a) f(x) = 1 –- x³ + 5x5 – 3x7. 5 – 4.x3 +…

A: Given: 1.fx=1-x3+5x5-3x7 2.g(x)=5-4x3+3x6x6 we want to calculate the antiderivative is nothing but…

Q: xsin-1(x) is 1– x² If x =0.58 and y = 0.31, then value of C in the antiderivative of F(x) = %3D %3D…

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Q: Give a formula for an antiderivative F(x) of f(x) = In(x)(tan¬1 vx) such that F(3) = 0. 1)

A: This is a problem related to differentiation of the function. Based on the product rule we will…

Q: Can i get help step by step with this problem?

A: Part(a):Given:

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: What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B)…

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

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Q: xsin-1(x) If x =0.56 and y = 0.23, then value of C in the antiderivative of F(x) = is V1-x²

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Q: Match functions ƒ with their antiderivatives F. F (x) = cos (11 – x) F (x) = -11 cos (x) F (x) = -…

A: use substitution method and product rule for finding the antiderivative.

Q: 6 1) Find the general antiderivative for f(x) = 1+ x?

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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: What is the antiderivative of 1 / (x - (1/k)x^2) with respect to x? k is a constant

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Q: What is the antiderivative of e^(x/5)?

A: Given:

Q: 1 Find the most general antiderivative of the function x3 + 4x

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Q: 9. What is the antiderivative of f (x* – x³ + x² ) dx? - 1 r5 а. 5 1 1 --x4 +x³ +1 4 -3 с. X. 4 3 b.…

A: Given :   ∫ ( x4 - x³ + x²).dx    NOTE:   To find an Antidervative for a function f , we can often…

Q: 6. The coefficient of Sin(x) in the antiderivative of F(x)=| is

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Q: 4. Use the Fundamental Theorem to evaluate (x³ - 6x)dx . (Your answer must include the…

A: Use the integral of polynomial.

Q: Find the most general antiderivative of f(x)=−7x^2+8x−2. Note: Any arbitrary constants used must be…

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

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

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Q: Consider the function f(x)=2/x3 - 3/x6Let F(x) be the antiderivative of f(x) with F(1)=0Then F(x)=

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Q: 2. Is there a difference between finding the general antiderivative of a function f and evaluating |…

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Q: 3. The integration of x e* with respect to x is: A. e2x. В. 2хе* С. 2

A: To integrate  xex2 with respect to x: ∫ xex2dx Apply u-substitution: u=x2 Differentiate both sides:…

Q: Find the general form of the antiderivative of g(x) = - cos4x

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Q: xsin-(x) If x =0.03 and y = 0.62, then value of C in the antiderivative of F(x) = is V1-x2

A: Given  F(x) = x sin-1(x)1-x2

Q: Find

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

Q: If f(x) = 1-x* , then an antiderivative F(x) could be Inx| -x А. 6-x C. 5x 3x 5 Inx| – x* 1+x° В. D.…

A: f(x) = 1-x5xAntiderivative F(x) = ∫ 1-x5xdx∫ 1-x5xdx= ∫1x-x4dx= ∫1xdx - ∫x4dx= ln x - x55 +…

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: 1. Find an antiderivative of f(x) = 16–x². Then, use The Fundamental Theorem of Calculus %3D 4 to…

A: Given : fx = 16-x2

Q: Find the most general antiderivative of: f(x) = 4√x − sec(x) tan(x) + (7/(x2+1))

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Q: Find the most general antiderivative of: f(x) = 4√x − sec(x) tan(x) + (7/x2 +1)

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Q: 11 Let f(x) = VI – x² Enter the general antiderivative of f(x) F(x) =

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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: 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: xsin-1(x) is If x =0.1 and y = 0.11, then value of C in the antiderivative of F(x) = V1- x?

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Q: Find the general antiderivative of f (x) = 4 x ln x²

A: Given: fx=4xlnx2

Q: What is an antiderivative of x+2 ? x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1

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Q: Find the general solution using Reduction of Order: x2y''-xy'+y=0 y1=ln x

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