Evaluate xJ,(x)dx -3

Q: 4x – 3 - 3 Given : | dx x² (x² + 9)

A: Given : ∫4x2-3x2x2+9dx

Q: Find in terms of x and y. dx2 x²y2 – 4x = 3 -2xy4 + 4xy² + 4 dy dx2 x

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Q: Xtan+4]dx - xdy= of + y]dx - xdy=0

A: Given differential equation is xtanyx+ydx-xdy=0 This equation can be rewritten as,…

Q: Determine whether it is stable or unstable. D) dx₁ dt = 3x₁x2-x1 + x2 dx₂ dt =x²-x₁

A: D Given system of differential equation is dx1dt=3x1x2−x1+x2dx2dt=x22−x1 We have to determine…

Q: Evaluate S Vx – x² dx -

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Q: 3. Evaluate yn x dx

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Q: for all of dx 1- y = xvInx 2- y = 3 x(x-2) x²+1

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Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: Find for all of : dx 1- y = xvInx x(x-2) x²+1 2- y =

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Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: 2 27|: r-1-(x-1)° dx

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: -3* dx. Evaluate O2 3 3 +1

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Q: Evaluate: [- e2x dx J ex+1

A: SOLUTION-

Q: dx i let x-= 4X-X2

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Q: g. In x*dx

A: g)

Q: D Evaluate 2x dx (I+ x)3

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Q: Evaluate o dx -dx . x²+1

A: Integration

Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: Integrate dx + C 3.

A: Firstly substitute x4=t and 4x3 dx= dt ( After Differentiate) then put these value in given integral…

Q: Evaluate fcos-¹(x) dx

A:

Q: d Evaluate 1x sec -'x2 dx

A: to evaluate the value of: dxsec-1xdx when x=23 as we know that product rule of differentiation is:…

Q: bernoulli dy dx + X = - 9.5 -xᵒy

A:

Q: Evaluate "x/2 e-x/² dx,[+hint: assume x = 2y] %3!

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Q: find dy/dx a) x' +4xy-5y² = 3

A: We have to find the dy/dx of the given function.

Q: ODE d²y dx² 1 -|> X dy xp ㅅ X² 1

A: We have to identify the type of the given differential equation. For this, we have to rearrange the…

Q: x dx 5. J 3-x2-6x

A:

Q: Evaluate the function: 1 dx x²/3 () 1+a!/3

A: Given: ∫1x231+x13dx

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: -1)/(x4))1/2

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Q: 3 - dx x² – x - 2 (1) (ii) fx'e* dx

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Q: d -(f(x² + 3x)) dx

A: Derivative

Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

Q: csch- x dx , 0 < x < 1

A:

Q: arks] (a) Find d dx [1+ Hence evaluate 2x dx. (1+x²)²

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Q: 3y = x3 - x + dx

A: Given: - The differential equation is, xdydx+3y=x3-x To find: - The general solution of the given…

Q: and Y=-2 when X=Z dx

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Q: dy evaluate dx X +5 If y = %3D 2 - 2x + 3 -

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Q: dy 6-x.-3y= x' dx

A: we are given an ode -x*dy/dx -3y=x2 we have to solve this ode as we can see, this is a linear first…

Q: dx メ+Vaxt) dx |-x2

A: Given

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

A:

Q: Evaluate: dx A **+ In\x*| + C 1 +C 3x3 B 4 (©) 3x2+ -5 3r2+

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Q: r2 Evaluate xe* dx. хе

A: Find the value of definite integral.

Q: Find of y' (y-x)° = y² – x² dx

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: Evaluate dx. Vx+/3-x

A: If f(x) is function and on changing its limit ,  Integral of f(T-x) = integral of  f(x)

Q: 2. Find b such that dx 1+x2 3

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Q: fo³x² 10 xx(In x + 1) dx

A: The given integral is  ∫0∞x-xln x+1 dx

Q: Evaluate: S, xe-* dx X

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Q: Show that dx (a) - x² +1 2

A: Since you have asked multiple question, we will solve the first question for you.If you want an…