Consider the function f(x) = 6x' + 8x5 – 10x³ – 6. %3D - Enter the general antiderivative of f(x)

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

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Q: Find the most general antiderivative of the function. f(x) = 3ex + 4 sec2 x

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Q: 1. 2ydx + x (²+x²y) dy = 0

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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

Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: t2 +t dt 2

A: ∫t2+t2 dt

Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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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: 2ydx + x(2 + x²y) dy = 0 %3D

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Q: Find the integrating factor of x dy / dx =x^ 2 +3y,

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Q: Find the most general antiderivative. dx x2

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Q: Find a set of solution. Integrating factors found by inspection.   y(x2 + xy2 - 1) dx + x (x2 + y2…

A: Given the differential equation y(x2 + xy2 - 1) dx + x (x2 + y2 +1) dy =0. We need to find the set…

Q: y(x* – y²)dx + x(x* + y²)dy = 0

A: Let us consider the differential equation,  Where M and N are the function of  x and y. If the…

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 dy/dx by implicit differentiation. x7(x + y) = y2(2x − y) y' =

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Q: In integrating the function fx' In Sx dx using integration by parts, what would you choose for your…

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

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Q: 2х + 3 d |(x² + 3x – 7)7 V

A: Given            ∫2x+3(x2+3x-7)7dx

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

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

Q: Find the integrating factor: ydx+(3x-xy+2)dy=0

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Q: dx S (x+2)Vx+11

A: Given:  I=∫dx(x+2)x+11 Use the substitution method to evaluate the integration. substitute…

Q: | sec 5x dx

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Q: Find the most general antiderivative. 1. dx 10 3 .3

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: factor

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

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Q: Find the integrating factor: x^2 dy+(2x^3 y-e^x )dx=0

A: First order linear differential equation of the form dydx+P(x)y=Q(x) Integrating Factor:…

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 the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

A: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: find a sets of solution. Integrating Factors found by inspection   x(x²−y² - x)dx− y(x²−y²)dy= 0…

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Q: Use the method discussed under "Integrating Factor found by Inspection". (x² + y² + 1)dx + x(x –…

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Q: find the integrating factor of (y² - x ) dx + 2ydy = 0

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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: One of the correct. steps to evaluate x²inx. x²Inx dx to yield the correct integral (A dx x2Inx B x³…

A: The given integral,     ∫x2lnx dx

Q: 4. x(x² – y² – x)dx – y(x² – y²)dy = 0, y(2) = 0

A: For the solution follow the next step.

Q: What is the integrating factor y(4x+y)day - 2(x^2-y)dx = 0

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Q: t of integration.) dx 5 + v2x

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Q: Find the integrating factor: (2x^2+y)dx+(x^2 y-x)dy=0

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Q: | by inspection: (3y° + xy kdx + (x°y² – 2}kty = 0 1. Integrating factors found

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Q: 1. y(x³ – y)dx – x(x³ + y)dy = 0

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Q: (2у — Зx)dx + xdy 3D 0

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Q: Find the general solution using Integrating Factors Found by Inspection y(x^2 y^2 – 1)dx+ x(x^2 y^2…

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Q: Use the method discussed under "Integrating Factor found by Inspection". y(x³ – y)dx – x(x³ + y)dy =…

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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: e for the antiderivatives using proper

A: we have,   I=∫6x32-4x59x12-4dx

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

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Q: Determine the constant of integration of f (x) = S (15z* – 3x²) dæ if ƒ (1) = 4?

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

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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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Q: Show that the antiderivatives are equivalent.…

A: ∫6/(4 + 9x2)  dx = arctan 3x2 + C or arccsc √(4 + 9x2 ) / 3x + C We need to show that the…