Find the general antiderivative of f(x) = 2 cos (x) – 7 sin (x) and check the answer by differentiating. - (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) f(x) dx =

Q: Find the antiderivative of 5sin x In5 cos x dx 5coS x + C 5sin x In 5 + C O sin x + C In 5 5sin 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: d²y dy 2 dx Consider = e* sin x. Using method of undetermined coefficients, what is the form of y, ?…

A: Given that, The differential equation is following, d2ydx2-2dydx=exsinx We have to find the…

Q: Fial dy ldx by imphieit differention. X² (x+y)=y?(7x-y) 2. Find dy /x by implicit differention. e…

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Q: 1. Find the following antiderivatives. (a) [² cosh x + 1 sinhx dx

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Q: Find an antiderivative F(x) with F ′(x) = f(x) and F(0) = 0. Is there only one possible solution?.…

A: Given, F'x =fx  fx = 2+4x+5x2   We have to find Fx

Q: Find the differential of the given functions. a) f(x) = sin(cos(22)) CoS %3D 2x b) g(x) x3 – 7x

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Q: r) x²(esinx) s) e*[ln (cos x)] (m sin 3x t) e2x x COS X u) ex リこ Sm

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Q: fas |(1+cos z)* dz

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Q: 9. Find the most general antiderivative of the function a) f(x)=12+ sin x b) f(x)= 3x(x-5)

A: see below the answer

Q: Find the most general antiderivative. S(-6 cos t) dt 6 sin t + C -6sin t + C -6 + C sin t sint + C

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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: #2. | Ax)dzx, f(x)= (sin z, 0srs a/2 |cosr, n/2< rSA f(x)dxr. f(x): #3.

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Q: 3) Find the differential and evaluate for the given x and dx. 3x+2 x= 0, dx=0.1 Vx+1 y =

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Q: Find the general solution of (1+ cosy)dx - xsin ydy = 0. a. X - sin y - x cos y = C b. x + sin y +…

A: The solution is given as

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

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Q: -dx -? 1- 2x + x2 12. Which of the following is an antiderivative of the function f(x) A. tan-1(x –…

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Q: Find the most general antiderivative. 4.9 #19 f (x) = 2* + 4 sinh x

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Q: Find the most general antiderivative of f(t) = 1 cos(t) – 5 sin(t). Note: Any arbitrary constants…

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

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

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Q: 2. Evaluate the following integrals. 6 a) dx x² – 3x b) | 4.2? cos(x³ + 2) dæ 4x2 c) / 4x² ln x dx

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Q: Find the most general antiderivative. 4 9 dx 4 sin-1 x - In Ixl +C 4 sin-1 x + 9 In |x| +C 3.…

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

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Q: Compute for the general antiderivatives of the functions 1. S(x – 2)? dx 2. S(2x + 3)³ dx 3. [ sin…

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Q: 2y cos x + sint x)dx = sin x dy vhen x= t/4 ; y=1

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Q: Find the general solution of (1+cosy)dx-x sin ydy = 0. (1) x – sin y – x cos y = C (2) x = C(1+ cos…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Q.4 Find the most general antiderivative of the function 1) f(x) = 2x + 1 2) f(x) = cos2x + sin3x…

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Q: general solution DE Xy" +y'+xy=o Find the of on co ∞)

A: The given differential equation xy″ + y′ + xy = 0, known as Bessel’s equation of order zero, has the…

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: Find and show the work for 2 (x+3)(3x+2) dx. (a) (b) SF (sin(2x) – cos x) dx.

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Q: 9. Determine the following antiderivatives: sec?(x) -dx- tan(x) 6. 4x (2x² + 3)°dx а. b. - sin(2x)…

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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

Q: sec z dr

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

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Q: 7. Determine the following general antiderivatives. cos (x) dx -dx sin(x) а. - b. 10 sin(x)cos(x) dx…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

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

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

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Q: 2. Given the DE as (x² + y² – 3)dx – 2xydy = 0 a) Prove if the given DE is exact or non-exact b)…

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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: find Ly for the given differential operator L and the given function y. Q. L =(x2+1)D3−(cosx)D+5x2,…

A: Given: L=x2+1D3-cosxD. y(x)=ln x+8x5. Differentiate the function y(x)=lnx+8x5 with respect to x.…

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

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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: 3x-7 k (x) = L' (x) = In(5)5“ – 5 sin(x)

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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: 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: In the given DE, cos x + In y + ( + ev = 0, integrating the coefficient of dx, M (x, y), with…

A: We will find the g(y) as shown below