Find the particular antiderivative F of f . f (x) = cos x ( 5sec (x)– 18/2 tan x), F (4) = 31. Enter the value of the constant term in the expression for F in the box and upload your work in the next question.

Q: Find two antiderivatives of f (x) = cos x. Then determine the general antiderivative.

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Q: Find the antiderivative of f(x) = sin^2x

A: Antiderivative=∫sin2xdxsin2x=1−cos2x2So,∫sin2xdx=∫1−cos2x2dx=12∫1−cos2xdx=12∫1dx−∫cos2xdx=12x−∫cos2x…

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: 9. The anti-derivative of the function f(x) = e² + cost is (a) e²+ sinx+c (b) e² - tanz+c 10. 0.5(x…

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Q: Determine the numerical value of dF of the function F(x, y) = e-3y cos(nx) given that X = 1, y =…

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01) xe…

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

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Q: find the antiderivative F(x) of f(x)=x^2+sin(x)+3 with F(0=8

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

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Q: Find f(x), the most general antiderivative of the function: f" (x) = 18x – 3 sin(x)

A: Explanation of the answer is as follows

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: B sin x 4. Find an antiderivative F(x) of the function f(x) such that F(0) = 1. y + cos x

A: Given function f(x) = β Sin x γ + cos x   such that F(0) =1The antiderivative of the function is…

Q: Find the particular antiderivative of the function f(x) point (0, –1). e" (2ª – 1) whose graph…

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Q: Find the most general antiderivative of f(x) = 8x° + 9 sec x tan x. Answer: (8)/(9)x^9+9sec(x) Σ

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: II. Find the particular antiderivative of the function f(x) = e" (2" – 1) whose graph passes through…

A: Given

Q: 2.f(t) = cosh wt sin wt

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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 of the function. f(x) = + 3 cos x

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Q: Find the differential of the function. z = e ** cos(8nt)

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given that

Q: Find f. (Use C for the constant of the first antiderivative, D for the constant of the second…

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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: 3. x cos x dx

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Q: Where is the function f(x, y) = e' arctan (VI+In(x+y)

A: In this question, the concept of continuity is applied. Given function is fx,y=etan-11+lnx+y

Q: Find the antiderivative of f(x)=cos(3x)

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Q: of

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Q: Let y = e/3 Find the differential dy when x = 5 and dx 0.2 Find the differential dy when x 5 and dx…

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Q: 11) Find the antiderivative: f -3+6√x³ √√x dx

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Q: Find the general antiderivative of the given function. f(x)= sin (7y)+ cos (3y)

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Find the differential of the function y = V1+ cos(0)

A: Find the differential of the function

Q: Suppose f'(x) = 12√/1+4x where f(0) = 5. 1) Find the general antiderivative, f (x). 2) Use the…

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Q: 4. For the given derivative, find the antiderivative that satisfies the indicated condition. f '(x)…

A: We have to find the anti derivative of the function or we can say that we have to integrate the…

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 linear approximation at x = 0 to each of f(x) (x + 1)?, g(x) = 1+ sin(2x) and h(x)= e2*.…

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Q: se the Chain Rule to find dw/dt. w = INVX2 + y2 + z² x = 9 sin(t

A: Here we have to use the chain rule to find dwdt=? w=lnx2+y2+z2, x=9sin(t), y=3cos(t), z=5tan(t)

Q: Find the particular antiderivative of the function f(x) = e"(2" – 1) whose graph passes through the…

A: Integration

Q: Determine the numerical value of dF of the function F(x, y) = e-3y cos(nx) given that X = 1, y =…

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Q: Find a function whose 2nd antiderivative is f(x) = tan(x) + 4x+1

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Q: 2.f (t) = cosh wt sin wt

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Find the antiderivative of the function f(x) = - 4 sin (4x) when C = 0. The antiderivative is

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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: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given data is : dxdt=5et-3 , x0=4 To find the antiderivative

Q: use the integrating-factor method

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

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

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