1. S x²+x+3 (x-2)(x+1) dx

Q: (x+ 1)dx 2. Jx2(x- 1)

A: Given: ∫(x+1)x2(x-1)dx Simplify by partial fraction decomposition.…

Q: dominio de la función m(x)=(x−1)(x+2) / (x+5) is ? Steps please

A:

Q: x³-4x²-3x+1 1 - dx 3x + 2 5. f 6. dx

A:

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

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Q: 0 0.6 x² -dx √9 - 25x²

A:

Q: Vx - 2 dx 5 x*(Vĩ + 1)

A: I have stated the used formulas in the solution

Q: 3. 1 x2+12x-5 (x+1)(x-7) dx

A: We need to solve the following integral I = ∫x2+12x-5x+12x-7dx…

Q: x +1 8. J x(x+ 4)3 dx

A:

Q: Determine Dx[x(x-2)²]

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Q: S dx 2 (1+x²)²

A:

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: S(x+ )´ dx 2 1 X X.

A:

Q: 3x+4x+1 6. J x-x+4x-4

A: Indefinite integration

Q: + 9x + 27 dx (x + 3) (x² + 9)

A:

Q: 5x*dx V1 – x³ .5

A:

Q: 2. Integrate the following: /(x (x² + 7)*)dx a. 8x(x³ + 7)³(3x²) + c x³ ((x³ + 7)° + c 5 b. 3 (x³ +…

A: It is given that, ∫x2(x3+7)4dx   Here this integral can be solve by using substitution method.…

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

Q: Find 3 J (æ+ 1)/2x² + 4x + 6 dx. OTM

A: We have to find the integral of the given function.

Q: f(x5) (16-x²)³/² dx

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Q: (x²+1)dx 10. x2

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Q: 5x2+11x+2 dx x(x+1)²

A: integration using partial fraction

Q: 2 [(3x² + 1)(x³ + x)² dx [(3x + 8) ¹¹ dx 11

A:

Q: (#9) S x2 dx V16-x²

A:

Q: 2. 7x' + 15x + 9x + 1 = 0. %3D Find exact value(s) for x such that (x+ 1)

A: Solve the equation

Q: Evaluate: 2 (1) (2-3)* dx 1 1 dx x + 5 (2)

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Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: x3+1 dx x3-x ii. dx iv. S: x(Inx)((Inx)?-3lnx+2)

A: