X - X UIS dx ? %3D 22n „(1-)3 (e) (2n).(2n)! I=u (c) (-1)" (2n+1).(2n+1)! -3 (P) I=u I=u 2n K (a) n.n! viniz Soruxu bos hu

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A: (a) 2x2y3z43 Simplify as, 21×3x2×3y3×3z4×3=23x6y9z12=8x6y9z12

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A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

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A: INTRODUCTION: The radius of convergence is half the length of the convergence interval. If the…

Q: Evaluate /x ex dx ,6x Ο None ,6x x2(등) + 2x() -2() + C ebr 6. 216 x2(등) - 2x() + 2(%) + C 6 36 ,6x O…

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Q: Q18   tions, as indicated, and simplify your answer. (y+1)/(y-1)-(y-2)/(y+7)-(4)/(y^(2)+6y-7)

A: Taking LCM of denominators is the key here.

Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

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Q: 시e (+-2) u(1-2) T 2-7

A: Some of the proprieties of Laplace transform Lu(t-c)g(t)=e-2cL[g(t+c)] Ltneat=n!(s-a)n+1 Leat=1s-a

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A: Due to our guidelines I am solving only first three parts plzz repost other question.  1. (2x5y3z)2…

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Q: dx 11 J V64x2 - 121 8 11 18 – In-x+ 8 3 A +C 64x2 – 121 B In 1 V64x2 - 121 +C 11 In V64x2 - 121 +C…

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Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

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Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: dx J x²–18x+97 O fIn (x² – 18x + 97) + C In (x² – 18x + 97) + C 0sin-l (부) + C х-9 O tan-' () + C…

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Q: 2. (10 points) Evaluate 3x² (x3+5)² dx (using substitution)

A: Step 1:Step 2:

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A: As per the question we are given an expression for Y in terms of x1 , x2 , ... , xn , n > 0  And…

Q: x + 5X" + 4X - 3 dx (x² + 3x + 5) (x²+7X+12)

A: The given integral is ∫x6+5x4+4x-3x2+3x+5x2+7x+12dx.

Q: 1/2 z + 6 = 3/2 (z + 6)

A: We have to solve for the value of z in the above equation.