x³ +x +2 dx x² + 2x – 8

Q: d ) = (x³+1)(2x)-(x²)(3x²). dx (x3+1)2

A: Since you have posted multiple questions and we can amar one question. So, answered first question.

Q: x2 + 2 dx (x³ + + 6x + 4)2

A: We have to find the value of the given integral. Here we use integration by substitution method.

Q: (x² - 12x + 9) dx (x²-3x + 2)²

A:

Q: 2 - (4x² – 8x5)(x³ – x6)-8)dx 4х-1

A: Given an integral : I=∫2(4x-1)-4x2-8x5(x3-x6)-8 dx We need to find the integral. Let's begin.

Q: 16x - 32x2 +5 dx. 7. Evaluate x2 - 2x

A: (7) Consider the given integration as ∫16x3-32x2+5x2-2xdx

Q: 5x²+3 dx x (x²+2)

A: Given: Let us consider the given,∫5x2+3xx2+2dx

Q: 2x+3 dx x²+3x-5

A:

Q: 4x + 5 S(x) = 9- 3x A. x = 0 B. x = 3

A: To determine whether the given function is continuous and differentiable at the given points or not.

Q: d(-2x-1+ 6x7) -2 4x dx (3x5 + 4x) d dx 15x* + 4 3 d 16x dx 1 2 2

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Q: 3 (3х - 5)dx (3x2 - 10х + 12

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

A: To find the given integration.

Q: 3 (5æ° + 2x") dx - 4 Find

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Q: 8 (3x3 – 2a2 + 1) dx -3

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Q: 5x2-12 х-12 dx х3-4х

A: Given: ∫5x2-2x-12x3-4x

Q: 3 5x3 4 6 /x ) dx Find - x4

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Q: 6x4-5x3 +4x2 - 3x + 27 dx. Find 2x2

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Q: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

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Q: X-12 dx (x- 5)3

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Q: 2x + 3 dx x² +3x + 5

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Q: 2x3+2x2-2x-1 dx x2+x

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Q: (3x + 5) dx 3 2 x³ -x²-x+1

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Q: 4x2 -6 dx. x - 4x2 Evaluate

A: Consider the given integration as ∫4x2-6x3-4x2dx

Q: x² – x 2 1+ 3x² dx 2.x3

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Q: 7 (2+ x³)' Vx² – 1 (x2 + x + 1)* 3 d B : dx - 4

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Q: 3 9x + 4x -dx- 4 9 + 4r

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Q: 3x +3x-5x² +x-1 dx x² +x -2 Q4 Evaluate

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Q: x²+2x - 1 dx 2x3 + 3x2 - 2x

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Q: 2x2 + 3x – 3 dx X - 9

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Q: 6. f(8x³ - 6x² + 12x −9)dx

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Q: r(3 -5x) 3. dx (3x 1)(-1)² 2.

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Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

Q: 3. (0.002x4 -0.3x² + 4x - 7) dx

A: The given integral is    ∫-1010(0.002x4-0.3x2+4x-7)dx

Q: (x³-4) dx x3+2x2+2x

A: Here we have to integrate the given Integral.

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: 5x3 + x2 + 15x + 1 dx (x² + 1)(x2 + 3)

A:

Q: 9x3 - 3 x + 1 dx x3 – x2

A: Given integral,…

Q: x²+4 dx (x-5)(x2+9)

A: ∫x2+4x-5x2+9dx Here use partial fraction and find  integration…

Q: x² 2 =dx 2 √4+x²

A: solution:-∫x24+x2dx=4∫x2441+x24dx=2∫x221+x22dxwe know thatcosh2t-sinh2t=1cosh2t=1+sinh2tusint…

Q: x +2x dx. 4 13. Evaluate J- (** +3x2 +9)

A: Integration by substitutions

Q: 2. 2x² + 4x-3 ,2 X dx

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

Q: (x3-2x2+1)dx (x2-2x+5)2

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Q: x-6x-4 dx x+2

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Q: x²(3 – 4x)dx 2 -4 |

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Q: 23 – x2 + 2x – 2 dx x2 (x2 – 2x + 2)

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Q: x3 – 6x2 + 5x – 3 dx x2 – 1

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Q: 2) J (2x2 - 6x) dx B) - x3 - 3x2 +C + C D)를3-3x2+C + 3x + C

A: Here is the problem of integration  ∫( 2x² - 6x)dx  2x³/3 - 6x²/2 + C  2x³/3 - 3x² + C  So D is…

Q: 17x2 – 2 dx. x² (9x² + 1) 18x3 – Evaluate (1 + z76) ==

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Q: 2x²- 2. 4x= -15x+5 dx 2 X -2x - 8

A: Simplify the given integrand.…