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

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: Find dy/dx by implicit differentiation.   1) x3 + x4y4 + y7 = 5   2) x^2 / x+y = y2 + 7

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Q: 2x2 +4 Find the general antiderivative of f (x) =sin (x) + x²

A: Antiderivative is another name for integration of f. Therefore to find the anti derivative of f we…

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: B) Findfor the Implicit function: dx x² - sin(xy) + y² = 5xy

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Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

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Q: Find dy/dx by implicit differentiation. 7e^x^2*y = x+y

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Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

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: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. 7…

A: Integrate. ∫hx=∫sec2xdxHx=tanx+C=tanx+0=tanx   Check by differentiating. ddxHx=ddxtanx=sec2x…

Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help?…

A: The integral of ∫xndx=xn+1n+1.

Q: sinh x – 1 dx cosh x

A: The given integral: ∫sinh x-1cosh xdxWe need to find the antiderivatives.

Q: f(x) = 9x3 + 4x.   Find the differential of the function.   dy =?

A: Given , y=fx where fx=9x3+4xwe have to find the differential dy

Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du…

Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

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Q: If  f '(x) = x4,  what is f(x)? (Use C for the constant of integration.)

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Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

A: Given information: function Gx=2e3x-5 function gx=6e3x here, we have to show that, the function G(x)…

Q: Find dy/dx by implicit differentiation. x^2/x+y= y2 + 4 y' =

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Q: Find the most general antiderivative. 2 7 dx X+1

A: By using integration formula, we calculate the given integral.

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

A: Given that

Q: Given f(x) = x^5 * cos x, dx= 0.01, use numerical differentiation to find: (1) df/dx for this…

A: Concept: The formula for the differentiation of the product of two function Let the two functions be…

Q: Find the most general antiderivative of the function. ( Use C for the constant of the…

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Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

Q: If f'(x) = 4x°, what is f(x)? (Use C for the constant of integration.) f(x) = %3D

A: It is known that ∫xn dx=xn+1n+1+C provided n≠-1. Given that f'x=4x3. Integrate as follows.

Q: 3. x cos x dx

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Q: when

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Q: sin x dx COS x

A: Indefinite Integration Substitution

Q: of

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Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

Q: Find the most general antiderivative , verify answer by differentiation  g(x)=7sin theta/3

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Q: Find the antiderivative: x sinx'dx

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

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Q: 2х + 1 dx x2 + x

A: Concept : ∫1tdt =ln(t) +c ,where c is constant ; d(xm)dx= m.xm-1 ∫2x+1x2+xdx =? here we can solve…

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: For the function f(x) = 2 sec (2x) tan (2x) + sin(x) + cos(x), find the most general antiderivative…

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Q: cos xdx (vii) S 5+sin2 x

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Q: 2x Using the definition of derivative, find Given y = dy %3D x+8 dx

A: dy/dx from definition of derivative is given below

Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: Find dy/dx by implicit differentiation. x3 + y6 = 60 dy/dx

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Q: The most general antiderivative of x sin(3x) is

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Q: Find dy/dx by implicit differentiation. x² – 7xy + y? = c ini

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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: 3. Given x?y? = x² + y², find by implicit differentiation. dx

A: To find: The value of dydx. Given: The equation is x2y2=x2+y2. Formula used: Product rule of…

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 for the following function: dx 1- y = sin-1 V2x + 3

A: See the attachment

Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

Q: Calculate the error of approximation with Ea for the following functions when x = 2, Ax = dx = 0.08

A: If the input of a function y=f(x) changes, its output also changes. The derivative of a function is…

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

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

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