x? + 2x – 3, What is the first step in integrating x + 1

Q: 2x+2 x-J-dx + Jdx then 28= A B if x+10x+24 x+4 x+6 O a. 3 O b. -6 O c. 5 O d. -3 O e. 10

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Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; x = 0, y = 0, y = -1, y = 2 Particular…

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Q: Y1 = x² + 2x + 1 Y2 = 2x + 26 dx y2 35 30- 25 20- y 15 10

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Q: dx 4. d) Integrate (a2 + 9)3/2

A: Please refer the attached image for complete solution. THANK YOU.

Q: How do you integrate this: ∫(50+2t)3(10) dt + c c = is just an arbitrary constant

A: Indefinite Integration

Q: Integrate (x^2)*(e^(2x))

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Q: t - 1 (a) f(t) = 1 + logs %3D V8 /8-t

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Q: 3 then the integrating factor is ax (a) –3x (b) -3y (c) e 3x (d) e Select one

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Q: S(2x³ – 3)2º(6x²)dx Se S e5x(5)dx 1 OS 2xdx 4+x 2

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Q: sheet Undetermind Coefficient 2 Y +2Y+Y=x'e хе

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Q: i) (x-1)(x-2)(x-3). k) (x-1)³. j) (y-6) (y-4) (y + 1). 1) (x+2)³.

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Q: Edx rB(2x+2) x2+2x t2 D(2x +2)dx (x²+2x+2)² Cdx (x²+2x+2)° (キャ9x+9×+x-x)dx (x-1)(X*+2x +a)* Adx x+…

A: Please see the below picture for detailed solution.

Q: integrate x /(x^2 + x + 1)

A: Then rewrite the integral and try to get (2x+1)dx in the numerator.

Q: 2 dw V11+10w-w² O -0.1353 O -0.13520 O -0.1352 O -0.1351

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Q: Integrate S- x?Vx?+ 16 44dx A I1/x²+ 16 +C 4 (B I1/x²+16 +C 4 I1/x²+ 16 +C 4x 11 +C 4/x²+ 16 11x +C…

A: Let I=∫44x2x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=44·∫1x2x2+16dxPut x=4tanθdifferentiate…

Q: f(x) %3D e 3.

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Q: Describe using a paragraph the step-by-step integration of f(x) = (6x2 + 5x) dx

A: f(x) = 6x2 + 5x

Q: The integrating factor of xInx- +y = 2lnx dx Select one: O a. а. O b. In2x c. In3x d. Inx

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Q: 20 (i) E(13)* k=0 (ii) fºx'e-2= dx (iii) [ e-(z-13)²/8 dr

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Q: y" + 4y' + 3y = 15 e^2x + e^-x

A: Given differential equation is: y''+4y'+3y=15e2x+e-x Solution of differential equation is sum of…

Q: x2 8. Use the Integration Tables find f dx (2x-7)2

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Q: Integrate SGr- 22 dx. (5x + Select one: OA. In(5x+ 2)² + C В. 1 çIn(5x +2)2 + C O C. 5(5x + 2) + C…

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Q: 3x2 + x - 2 Cvaluate the integral 3 – 22 +x - 1

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Q: r3/4 5. Solve for x: 32t dt = t3 dt. 1/3 e

A: To solve for x: ∫ex32t dt=∫1334t3 dt

Q: 3x + 2 10. Find the principal value of dx. (a² +9)(x- 4)x

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Q: y" - y' - 2y= e* %3D

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Q: aN) 1 dx ) M 5 ду y

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Q: solve the integration Sx³e* dx =

A: ILATE rule

Q: dž 3 9. with x(0) = dt -1 -3 x1(t) = help (formulas) x2(t) : help (formulas)

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Q: Solve x2 + x + (µ²x² – n²)y = 0, µ # 0,n > 0 dx

A: Given  differential equation  x2d2ydx2+xdydx+μ2x2-n2y=0 is Bessel's differential equation  Comparing…

Q: dx 1 Vx² + 36 – 6 In + C xVx2 + 36

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Q: x(3-5х) J - (3x-1)(х-1)* # 2) Evaluate: -dx-

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Q: 5. r(x, y) = ln (x + y)

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Q: x² + y? = 1 How much work is now worth if we take F (x, y) = (ax is any positive constant?

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Q: y'+xy=xy^3 Solve for the solution What is the integrating factor? What is the dependent variable?

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Q: x2 - 10x - 5 dx J (x - 1)2(x² + 1)

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Q: 4x -4 dx a. b. dx 5-4x c. St Vtz +2 dt

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Q: integrate x^(2)  * e^(3x)

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Q: (2x³+x-1)dx 1. S x3+x²-4x-4

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Q: x3-3 5). S dx V x11

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Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: elser (i) E[X] (ii) E [(X – 1)21 (iii) E [3X – 1]

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Q: (iii) XF= F-1 – DT.

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Q: II. Directions: Integrate the following. Solve Completely. 5. S(+ 5x*) dx 5 6. fxi dx 7. Sx-6dx 8.…

A: Answer is mentioned below As per the guidelines we are suppose to answer only first 3 subparts.…

Q: もVALUATE xe 0.

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Q: xye* - y?e*? у (2х2 — ху + 1)dx + (х — у)dу %3D 0 - a. xye** – y²e** = C b.xye** – 2y²e* = C C.…

A: It is some time  difficult to find integrating factor by inspection, some manipulation and…

Q: Q3. Choose the correct answer 1- x- In x2 + k Is the result of integrating the function? A. 1-2х А.…

A: Find the function which is the resulting integration of function x-ln x2+k.   A function Fx is…

Q: 2可 S dt 二2可

A: We can do the problem by doing simple integration and then putting the upper and lower limit.

Q: 11) y"-y=- %3D (1+e ")

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Q: -4 3 (x²-y²)²] x+y Evaluate: ₁ du dt

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