Find the general antiderivative of f(x). f(x) = e* – 5 sin (x) (Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.)

Q: a) Find the differential dy, and b) evaluate dy for the given values of x and dx. y = e*/10 x = 0,…

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Q: Find the antiderivatives of the functions: 1 f(x) = x* – 2x² + sin x a. Зx3+Vx+1 b. h(x) =

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Q: 1) Evaluate the following (general) antiderivatives: a)[9x' +7x+4 dx = b)J9 cos(x)+8sin(x)+7e*…

A: a) ∫9x7+7x+4 dxb) ∫9cos(x)+8sin(x)+7ex+6sec2(x)+4x-31+x2 dx

Q: Find the differential dy of the function y = 3x ' O a) dx b) 3x dr c) x 4 In(3) 3 d) dx e) 글x dx

A: We are given y =3x^(1/4)  To find dy just differentiate y with respect to x

Q: Find the family of antiderivatives for each ofƒ(x) = ex, g(x) = 4x3, and h(x) = sec2 x.

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Q: Given f(x, y) differential df = 10x?y then the total O 20xy dx + 10x² dy 20x dx + x2 O 2xy dx + x²…

A: For the solution follow the next step.

Q: (x² y3 + 2y)da + (2.x – 20° y²)dy = 0

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Q: If y(x) : ,determine the antiderivative of y(x). (Do not include the constant C in your answer.)…

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Q: is given by Oxy = E(XY) HxHy.

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Q: 5х-1 dx that satisfies the condition F(1) =1. J 2(x-2) Find the Antiderivative F(x) = x²(x – 2)

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Q: Find the most general antiderivative of the function g(x) 3x2 -e + coS I | O 6x-ex-sin(x)+C O…

A: The given function,  g(x)=3x2-ex+cosx  .................................(1)

Q: Find the particular antiderivative that satisfies the following conditions: dz 8e* – 3; (0) = 8. dt

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Q: Using u = 1 + t°, the limits of integration will change from t = 0 to u = and from t = 1 to u =

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Q: 6. Let a be a positive constant. Determine the general antiderivative of a using the fact 1 a² + x2…

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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: 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: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted…

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Q: Find the most general antiderivative. 3 4.9 #18 g(v) = 2 cos v V1-v2

A: We will solve the following.

Q: Determine the following general antiderivatives. [3x (x²-5)³4x [Axe+²7 tan(+²7) dx 10 d. cos(x)…

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Q: In the given DE, cos z + In y + ( +e) dy 0, de integrating M (x, y) with respect to x generates a…

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Q: Find the most general antiderivative (a) Integral [ (cos(ln x)) / x ] dx (b) Integral [ (x2)(ex^3)…

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Q: Find the general antiderivative of f (x). f (x) = e* – 6 sin (x) - (Express numbers in exact form.…

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

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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: the following is the general antiderivative G(x), for g(x) = 2 sin(x) + 12e³x + 2√x ? ternative: 1…

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Q: 2. Find the general antiderivative. If the substitution method is used, state first u, du and…

A: To find the antiderivative or integration of the given terms

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Q: Find the general antiderivative of f(x) = 2 cos (x) – 7 sin (x) and check the answer by…

A: For a function g(x) if f(x) is the derivative of the function such that ; d(g(x))dx=f(x) Then;…

Q: Q2: find the antiderivative of the following a) S x + e* + sec(x) tan(x) dx b) /블dx x+1 c) S(e* + +…

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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: Find the general antiderivative of f(x) = 4 cos (x) – 11 sin (x) and check the answer by…

A: given that:       f(x) = 4cosx - 11sinx we have to find first,   ∫f(x)dx then after we have to show…

Q: 6) 3x²y dx + (x² + y²) dy = 0 3

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Q: Let f(x) = 9 · 5" ln(5). Find the most general antiderivative. F(x)

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Q: In solving the antiderivative of f(x)= 3sin(x) + 4cos(x) +5 by miscellaneous substitution, the…

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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: Compute the general antiderivative S a"-1 cos(x")dx COS where n > 1 is an integer greater than 1.

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Q: Give the antiderivatives of - for x> 0. Choose the correct answer below. O A. Inx+C, where C is an…

A: It is required to find the antiderivative of 1x

Q: In the given DE, cos x + In y+ 0, integrating M (x, y) with respect to x generates a function g (y).…

A: To solve the following differential equation

Q: Match each general antiderivative with its rule xn+1 а. dx n + 1 dx, n + 1 b. (п + 1)2^+1 С. dx…

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Q: dx - is 2/x - Sin| x +s|+c. Vx +5 The antiderivativeof - A) True B False

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Q: Find the particular antiderivative that satisfies the following conditions: dy 4а 2 + 6а — 2; у(1) —…

A: We will separate the variable and the integrate as follows

Q: 3. Find dy, where; (x+y) = 2 a) cos (xy)- + e b) e+ iPtany=1 , u= xlax (use chain rule)

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Q: flx, v) = { xe-x(1 + y) x20 and y 2 0 otherwise rmine E(XY). ulate Cov(X, Y) and p. X, Y) =

A: Given Two components of a minicomputer have the following joint pdf for their useful lifetimes X and…

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Q: By the even extension method applied to the function f (x) = e-2", where x > 0, the value of the…

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Q: Find the antiderivatives |x In(x²) dx + sec? x dx CO X dx sin5

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Q: Match the function on the left to its appropriate antiderivative on the right. V2x +C Prompts…

A: Here we have to find the antiderivative of the following function.  1) f(x)=24-x22) f(x)=4x2+43)…

Q: Let y = e, find the differential dy Select one or more: a. e2x O b. e2x dx O c. xe* dx Od. 2xe dx

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