Let f(x) 6e". - Enter the general antiderivative of f(x)

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: Find the most general antiderivative of f(x) = 2 – 2x³ + 7x° + 5x". Note: Any arbitrary constants…

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Q: Find the most general antiderivative of f(x) = -3x – 7xL7. Note: Any arbitrary constants used must…

A: Topic = Integration

Q: Find the antiderivative of xe2x/(1+2x)2 from 0 to 1/2

A: Given the integral ∫012xe2x1+2x2dx

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

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Q: Evaluate the integral. /x² – 36 Vx2 – 36 -dx + 6cos + C Vx² – 36 -dx = Vx² – 36 – 6cos- () + C x² –…

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Q: Suppose that f(x) is an antiderivative of f(x) = V1 + xt. Express JoV1 + x* dx in terms of F and…

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Q: Find the most general antiderivative. 9 dx -x2 x zX - IN

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Q: Find an antiderivative F(x) with F′(x) = f(x) = 11+28x^3+12x^5 and F(1)=0.   F(x)= In a few…

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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: Let f(x) = 2e". Find the most general antiderivative. F(x) :

A: To find the antiderivative (integration): f(x)=2ex

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: 12. Show that F(x) = sinx – x cos x+2 is an antiderivative of f(x) = x sinx.

A: Given, F(x)=sinx-xcosx+2 To show that the above function is an antiderivative of f(x)=xsins.

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

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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: 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 most general antiderivative of the function. 2xA + 7x³ - x F(x) + x >0 %3D F(x) %3D

A: Given that     f(x) = (2x4+7x3-x)/x3 We have to find the antiderivative of the function.

Q: Find the most general antiderivative of f(x) = Vx(x -x). r).

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Q: 21. Determine the general antiderivative of f(x) = 4x 4x4 + 9 2x2 a. 2 cosh +C 3 22 + C c. 2 sinh¯…

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

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

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

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Q: find the antiderivative that satisfies the given condition 5-3(1+x^2)^-1, F(1) = 0

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Q: x²-2x* 5. Integrate with respect to x x4

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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: 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: 9. Let f(x) x In(10) Find the most general antiderivative. F(x)

A: Given data÷ So,we need to find F(x).

Q: Find an antiderivative F(x) of f(x) = 7x – Vx.

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

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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: Verify Young's Theorem S. f(x, y) = = e(2x+y) In(xy)

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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: what is the antiderivative F(x) 0f f(x)=3x^((1)/(2))-x-1that satisfies the condition F(4)=0 A,…

A: Given that:f(x)=3x1/2-x-1, F(4)=0

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

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Q: Put that: coshx- hel x+Jx=I/,.- cosh x= lml x+J xI/ メン」

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Q: What is the antiderative of xysin((x^2)y)?

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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: (ii)If y=(x+Jx* +1. prove that y'= Vx +1

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

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Q: 6) Find most general antiderivative of the fxn ) f(2) = secx (secx +tane) Secx +tanx, = secx COS X

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Q: Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)2 + dx y 2logy x %3D

A: we have ,  y=3sec3t and x=etan3t we have to prove that , dydx=(ln3)2·yx·logyx…

Q: If ƒf (x) =¸ (A) (B) Sº sec²x 1+elanx In (secx) √✓ 1+tan²x tanx 1+e sec ³x tanx 1+e 1+1² tanx…

A: Using Leibnitz integral rule.

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: 3 Let f(x) = V1- a? 1 – x2 Enter an antiderivative of f(x).

A: Solving the problem by the process of indefinite integral.

Q: Find the particular antiderivative F of f . f (x) = cos x ( 5sec (x)– 18/2 tan x), F (4) = 31. Enter…

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

A: Given: fx=4xlnx2

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

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Q: Show complete solution Expand, that is, perform the indicated operations on the differential…

A: To expand, that is, to perform the indicated operations on the differential operator, xDD+x