1 dx is Vx - x +1

Q: 43 a. By using substitution u = Vx-1, find [ dx. x-1 b. Find [ xe“ dx

A:

Q: 4. Integrate: 5dx dx a) f b) [ c) f- 1 dx; d) x' V16-x? 1+ cosx cos x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: L, sgn(x+ 1) dx = 1. 0 2. 2 3. -2 4. 1

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: 1) [ (2t – 1)² dt 2) dx 3) [, x(x² + 1)° dx

A: To evaluate the given integral.

Q: 4. (а) Find d -1 dx V 1+ x². 1 (b) Hence evaluate 2 dx. (1+ x2)3/2

A:

Q: 1 (j) dx Vx² – 1

A: Let

Q: dy = 0 cscx 1. + 4y dx x3

A: This is linear differential equation .

Q: 3) S x tari'x dx X,

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Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

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Q: 3 а) J(x2 + 2х + 3) dx

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Q: Find dy/dx of * ye2x + xe2y = 0. %3D

A: This is a derivative problem

Q: 1 dx. | z(x² + 2x + 2)

A:

Q: dx +v1-x2 dy =0 +V1-x2 dy =

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Q: dy 1 1 dx V1 - x2 V1 - x2

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Q: Find dx/dy if y = x² + 1/x

A: To find dx/dy if y = x² + 1/x

Q: dx 3.2 I = S: 1+vx+1

A: Solution... I have two solution...

Q: 4cos (x)dx =

A: detailed solution is given below

Q: a) Evaluate x dx dy ఆ

A:

Q: find (d^(2)y)/(dx^(2)). y=xcos(5x)-sin^(2)x

A: y=xcos5x-sin2x Differentiating with respect to x, we get…

Q: 1 dx. Evaluate J1 (x+2)(2x+3)

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Q: ) d sin x Compute dx x2

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Q: (c) V2x + 1 dx (d) x In(x) dx

A: Recall: ∫ax+b dx=1aax+b3232+c ∫xn dx=xn+1n+1+C ∫u.v dx=u∫v dx -∫dudx∫v dx dx d(lnx)dx=1x

Q: Find dy/dx y=4sin(x)-5cos(x)

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Q: dv = dx = v=x V = 1-a'x 1-a'x

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Q: d 1 (arccosh x) dx %3D Vx2 – 1 -

A: Consider the following equation: y=arccoshx x=coshy=ey+e-y2=ey+e-y2×eyey=e2y+12ey…

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: d. x" tanh 1 dx VX %3D

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Q: .3 +3 dt dx X

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Q: dy Find if 2x2 dx 2 + y In (xy) =

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Q: 1. dy Find dx f(x) = -x +5x-3 %3D dy - 2x +5 dx

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Q: 1 -dx. J x2 + 2x +2

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Q: 1. Integrate: dx x2+7x+6

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Q: 5. Compute dx 1+Vx

A: Introduction: Integration may be a technique of connecting elements to create an entire. we discover…

Q: 5 dx J (x - 1)(x2 + 4)

A:

Q: 11 1 dx Vx – 2 J2

A: First solve integration.

Q: L, sgn(x- 1) dx = 1. 0 2. 2 3. -2 4. 1

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Q: x2sinx Find dy /dx %3D (1+x2)2V1+x

A: Given: y=x2sinx1+x221+x   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The…

Q: ¹In(1+x) -dx X

A: According to guidelines we must answer only one of the multiple questions given. So, I answer only…

Q: dx 1. Evaluate S- x Vx-

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1 -dx%3D J x²+4

A:

Q: x +1 Evaluate the integral dx. Vx2 + 2x + 3

A: Note: for given integral none of the option is correct match.I have solved as per integration by…

Q: 2) 1 Vl-x dx

A:

Q: 1 dx. Evaluate : x*Vx -3

A: The integral to be evaluated is . Since the integration is indefinite; a constant of integration is…

Q: SVx dx = 6 1. x +arctan | + C | 1+ Vx

A: Given the integrationI=∫x1+x3dx         ......(1)

Q: .2 dt t2 + 1 dx

A:

Q: Compute E 1 dx V1+vx

A: To evaluate:∫0211+xdx

Q: Find dy dx (i) f (x) = Cos2x Sin²x

A: