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

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: Reducible to Exact (2xy ln y)dx+(x2+y2√y2+1)dy=0 Have to be convert to exact by integration method

A: Given  Differntial equation (2xy ln y)dx+(x2+y2√y2+1)dy=0

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Q: Evaluate.cuse C for the Constant of integration). 40 t6x-X dx

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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: t2 +t dt 2

A: ∫t2+t2 dt

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

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Q: Find differential of the function y = (x² + 8)3. dy = dx. When x = 5 and dx = 0.05, compute the…

A: Solving

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: sinh x – 1 dx cosh x

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Q: 1 4x2 dx X.

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Q: Find the most general antiderivative. dx x2

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Q: e (sinh x dx + cosh x dy) = 0

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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 linear approximation of f(x)=ln(x) x=1 and use it to estimate ln(1.1). L(x)= ln(1.1)=

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Q: 1 dx

A: According to the power rule the integral of a function f(x)=xn is given by: ∫xn dx=xn+1n+1+c…

Q: Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3 and dx 0.3 %3D

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Q: Some elementary functions, such as f(x) = sin(x2 ), do not have antiderivatives that are elementary…

A: let ∫x-necxdx for n a positive integer and c a non zero constant is non elementary since…

Q: Find the antiderivative. (Use C for the constant of integration.) (8x + 9) dx

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Q: What is the antiderivative of e^(x/5)?

A: Given:

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

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

Q: Find an antiderivative for f(x) = lxl.

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

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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: sin x dx COS x

A: Indefinite Integration Substitution

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

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Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

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

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Q: finel cly 0- ó cost +1nt) e e (cos Ø + Ssin ø)

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Q: d cosh z =sinh x dz صواب ihi

A: Use the formula of coshz and sinhz in terms of exponents.

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

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Q: If f'(x) = 5x*, what is f(x)? (Use C for the constant of integration.) f(x) =

A: To find the integration

Q: The expression Tyi is an integrating factor for x²y³dx +x(1+ y²)dy = 0. 2xy³

A: x2y3dx+x1+y2dy=0                      (1) If 12xy3 is an integrating factor then multiplying it with…

Q: 9. Find the most general antiderivative; verify your answer by differentiation. a) f(x) = 2x*-Sx + 7…

A: a) on doing integration we get =2x^4/4-5x^2/2+7x+c this is the anti derivative of given function  on…

Q: CoSx b) F(x) = Int dt

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Q: Find S x cos x dx by using integration by parts.

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Q: Determine the most general antiderivative:  f(x) = sec x tan x-2e^x

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Q: Find the antiderivative given below. dx

A: Given the integrationI=∫−5x97dx

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + √x dy Read It Need…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + +√x dy = Need Help?…

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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 most general antiderivative. 4 dx

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Q: Find differential of the function y=(x^2+3)^3 dy=? dx When x=4 and dx=0.05, compute the…

A: We have to find

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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