Find the general antiderivative of f (x). f (x) = e* – 6 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: Find two antiderivatives of f (x) = cos x. Then determine the general antiderivative.

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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: Express the general solution in terms of Bessel functions: z²y" + 4xy/ + (x² + 2)y = 0

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

A: Given the integral ∫012xe2x1+2x2dx

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: 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: For functionf (x, y) = e*y + cos(x – y), write the first and second order full differentials

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Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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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: fas |(1+cos z)* dz

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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: Let y = 2 T. Find the change in y, Ay when x =1 and Ar = 0.2 Find the differential dy when x = 1 and…

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Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin…

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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: dy – 5x-2+ 2x-1 – 6; y(1) =7. dx |

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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: Find the following antiderivative: 4. /(arctan r) dx, by using the substitution u = arctan x

A: Find the following antiderivative by substitution method

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…

A: Here we are given a differential equation And we have to find the function g(y). For this first we…

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

A: Given (a) ∫coslnxxdx  (b) ∫x2ex3dx  We have to find the most general antiderivative.

Q: Find the general solution of the following DE by finding an integrating factor to maket eact Hint:…

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

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Q: 3. x cos x dx

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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: 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: Use the substitution y=xu where u=u(x), in the DE: x y" - y'+x y=0 and find its general solution in…

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

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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: Find the most general antiderivative of f(x) = sinh a + sin x.

A: Given that f(x)= sinhx + sinx. Find antidervative of this function f(x). We know that antidervative…

Q: 3. Find the general antiderivative of f(x) = x² + 3x+4 sinx.

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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: dx = 5e' – 8; x(0) = 2.…

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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: 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…

Q: e) f1a* +4)*dt

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Q: Find the general antiderivative of f(x). f(x) = e* – 5 sin (x) (Express numbers in exact form. Use…

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Q: Find the most general antiderivative of f(x) = sin x cos x .

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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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