Find the antiderivative F of f that satisfies the given condition.  f(x) = 7 − 3(1 + x2)−1,    F(1) = 0

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

A: Topic = Integration

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: 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: of of H.W: Find and for the functions: Ox ду 1. f(x, y) = (xy – 1)? 2. f(x, y) = x² - xy + y? | 3.…

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

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Q: a. Find the antiderivative of f(x) = -25x e F(x) = %3D

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Q: 18. Find the most general antiderivative of the function. a. f(x) = -9x² +10x %3D 8. b. f(x) = + 15…

A: Given :       f(x)=-9x2+10x      f(x)=15x4+8x5f(x)=4 sinx3 tanx

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) 18xe 18 %3D (a) f'(x) : (b) Solve f'(x) 0 to determine the critical values of f.

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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: If two functions f(x) = x2 - x and g(x) = x3- x2 +x 1 combine to form h(x), where h(x) f(x) find the…

A: Find your answer below

Q: 25. For y = f(x) = x2 - 3, x = 5, and Ax = 0.1, find Ay and f'(x) Ax. %3D

A: Given: fx=x2-3 ,x=5 and ∆x=0.1

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: 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(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: 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: Find an antiderivative F(x) with F′(x)=f(x)=11+24x^3+21x^6 and F(1)=0. Include a "+C" if…

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Q: Find the antiderivative of f(x)=e^(-1/x)/x^2

A: The answer of the above question is given below.

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 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: The function f(z) 2x-36z+120z-8 has two critical numbers. The smaller one is x = and the larger one…

A: A critical point is a point in the domain of the function where the function is either not…

Q: I. Determine the general antiderivatives of the following functions: Show your solution . 7.…

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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: If u = f(x), then f- dx ++2x+1 +C for some constant k. Compute kf(1).

A: In this question we have to compute kf(1).

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: The antiderivative of the function 4 + 10x is. x2 f(æ) = 4 + 5.0x2 + c - -4 5.0x2 + c -10 + 2.0x2 +…

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Q: Find the particular antiderivative that satisfies the following conditions: R' (x) = 5 – 0.3x; R(0)…

A: follow next step

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: The antiderivative of the function f(x) +10z is -5 - 5.0z2+c -10 +2.5z2 + c +5.0z2 +c -5 + 5.0r +c…

A: To find:∫5x2+10x dx

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

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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: Find the most general antiderivative of f(x) = -10x – (1 – x²)-1/2, where -1< x < 1.

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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: The antiderivative of the function f(2) +7z is

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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) If | f(x) dx exists and c is a real constant, prove that f(2) dz = / f(x + c) dz. | {(x+c) Vel

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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: b) Let X₁, X₂, Xn-f(x) = {0x-(0*) x>1 e. w. find Suff. Comp. St.

A: Given that