x* + 9x² + x + 2 dx 22. x² + 9

Q: (8x³ - 15x2 + 9) dx

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Q: dx 4. 3 3 х3Vx2—9

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Q: 6x2 + 23х — 9 -dx х3 + 2х2 — Зх

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Q: V4x² – 49 (b) dx

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Q: 3x5 dx - x3

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Q: (2x-1)dx 2x³-x²-27x + 30

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Q: evE -dr 3) Evaluate (6x² + 2æ – 3 4) Evaluate -dx p2(r + 3)

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Q: T : R² → R³ -3x1 + x2 (:) 3x2 x2 2x2 Ex: 5 : 5 T Ex: 5 -1 Ex: 5

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Q: 3) -x² – 4x + y + 3 = 0 -x? - 3x + y + 3 = 0

A: Given that: -x2-4x+y+3=0             ..........(1)-x2-3x+y+3=0     .........(2)               NOTE:…

Q: dx √4 - 9x²

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Q: r2V2 Vx2-4 dx

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Q: 4 – 5x2 dx. ¤/3x² – 1 9. Evaluate -

A: To find the given integration.

Q: 24x2 dx V25-x2 30 dx x2Vx² +81

A: By using integration by subsitution method

Q: V72+5/7³+3x -dx

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Q: S(x*-3x3 +- -2)dx = x(8x*-30x3+5x-80) + C 1 %3D 40

A: Consider the right hand side of the given equation. The integration formula is  ∫xn=xn+1n+1+c

Q: ans 1. (x+2)(2x -3) 2. 2(4y + 12)

A: we have to find

Q: 7- Find fx³√3 - 2x² dx

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Q: Find the following

A: ∫(8x3+10x2-7x+5) dx

Q: dx Sx²+ 4 2. 多.区

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Q: (b) Evaluate 8x' +13x dx. (x² +2)²

A: Given integral is, ∫8x3+13xx2+22dx.   It is integrated as follows:   Apply the sum formula:…

Q: 14. f (æ) = (x – 4) (x + 2)², [-2,4]

A: Differentiation wrt x

Q: (7-x2)dx 3x3-2x2-x

A: Let I is the value of given Integral.

Q: 9s + 7 F(s) = 2s2 + 2s + 4

A: Given: F(s)=9s+72s2+2s+4

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: 6. f(8x³ - 6x² + 12x −9)dx

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Q: - 6x² +15x² ,7x+6 Evaluate:[ dx. V2x² ,2x +1

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Q: Max Z= 5x1 + 7x2 S.T X1 + X2< 4 3x11 + 8x2 <24 X1 and x2 2 0.

A: The LPP is given as Max z=5x1+7x2 subject to x1+x2≤43x1+8x2≤24x1≥0x2≥0 We will solve it by Graphical…

Q: dx -2 3 (5-4x- х?)2

A: Let's find.

Q: 4 = √² 43 √8-7x8 dx

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Q: 28x-4 x 163*5 =16 х 16 Зx-5 %=D16 =16°x+2

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Q: Evaluate f(3r2 - V5x + 2)dx.

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Q: 8) f(x) = x° + 12x² + 47x + 60

A: fx=x3+12x2+47x+60

Q: 21. y = 2 + 3 sec(2x – 7)

A: sec(2x-π)=sec(π-2x)=-sec(2x)

Q: 4 5x2 Evaluate dx. TV3x2-1

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Q: ky5 | 7 (x³V5+ 8)(5k² - - x2 dx

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Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: 3. fx³ (a²+x²)¹/² dx

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Q: 2. f (x²-16) ²/2 dx x3

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Q: Evaluate f (5x* - 8x3 + 9x2 – 2x + 7)dx

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Q: r³+4x+3 dr -dx 14 _5x² +4

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Q: dx 2 9-2х

A: To solve∫dx9-2x2

Q: V212 -7x2 dx Jo V1- x?

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Q: Evaluate I=( (6-x-x²) dx -3

A: Consider the integral: I=∫-326-x-x2dx

Q: 8x' +13x dx. (x² +2)² (b) Evaluate

A: Using partial fractions, Partial fractions of 8x3+13x(x2+2)2=Ax+Bx2+2+Cx+D(x2+2)2 as there is square…

Q: F -2 + 12x 12x – 5 G 37° В 4x-5/ E 15 +4x C D

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Q: Evaluate. r2v3 dx 25 - x2 0.

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Q: Sa4-2x3)5(4x3- 6x²) dx

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Q: dx 3x2 + 11x + 6

A: