-7 dx (x – 2)(x2 + 4)

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: dy for y = x2 - 8. Q2) Find dx x-1

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Q: a-) I = c6 Vx²-9 dx 3 b-) S x In(x² + 1) dx

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

Q: x- /= ² + √²-11 de dx dx x-1 x² + x + 1 3

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Q: d²y + 4y = x² sin 2x dx2

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Q: 5. (x* +a')dy= 2x| (x² +a²) +3y dx, where a is constant.

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Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

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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: 2 27|: r-1-(x-1)° dx

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

Q: Sla 1 z dx |(25 – x²)3/2]

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Q: 13. dx/(x²-4)

A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

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Q: dx 1- S 4+x2

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Q: dx 2. S; x²-4x+5

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Q: Q4. Evaluate : O (xy²) dx dy -√1-(x-1)²

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: V16-x² .4 Evaluate: [4 16-x² J/x²+y² dz dy dx

A: We will evaluate the following Integral.

Q: Q4 Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) %3D x²+1

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Q: (-4x-12) dx For J x+10)³ (x-4)³ F(x) – 1. What is F(3)? -

A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)

Q: 10. fS'(x)dx -4

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: x(x²-x+2) dx is equal to 3

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

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

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Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

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: х — х* - 3х - 2 X | dx x* - x'+ 4x – 4x 3

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Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

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Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: 3), x²e2* dx Ans. 20 (5e* – 1) Se4 4

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Q: 5- (2xe" + e')dx + (x² + 1)e³dy = 0

A: solving given DE by separation of variables.

Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

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Q: dy Find of y = e4-3x + 63x*-2 x+5 dx

A: Given  y=e4-3x+63x4-2x+5 Find dydx

Q: dx 1) S- x2-2x+1

A: As per the guidelines we can only solve one question post other question seperately. Formula used  ∫…

Q: J 2x - 11 dx 2 x²+x-6

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Q: G3-y²sinx+303")dx+ (3xy² + 2ycosx + )dy = 0

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Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: 11. (y2 - xy)dx + x²dy = 0,when x = 3, y = 3 %3D

A: This question is related to differential equations.

Q: B4. Evaluate the integral [(3x² - ª ++5 x -6) 4 +5 /x – 6) dx .

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Q: dy у+x3 + 3x2 - 2х dx %3

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

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Q: iii) So z dx 1+x2

A: Given: ∫01 x1 +x23dx To Evaluate given integral Proof: We will evaluate the given integral by…

Q: 21 (b), dx -1 3e2x

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Q: fo³x² 10 xx(In x + 1) dx

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

Q: Let ƒ(x) = x2 - 4x - 5, x> 2. Find the value of dƒ -1/dx at thepoint x = 0 = ƒ(5).

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