2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

Q: x³ dx 9+x* 1.

A:

Q: (2+3x)2 dx

A:

Q: X+1 dx (x- 1)(x² + x + 1)

A: The given integral is: I=∫x+1(x-1)(x2+x+1)dx

Q: L dx x-1 -1 -x²+1

A:

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

A:

Q: (x² (а3 — 2)da 4x +

A:

Q: 6+02+z*91taXtrực (x + 2)(x² + 3)² xp=

A: ∫3x4+4x3+16x2+20x+9x+2x2+32dx

Q: Vx - 2 dx 5 x*(Vĩ + 1)

A: I have stated the used formulas in the solution

Q: 9x +1 d) / | 3 – g² + 9x – 9) x2 + 9x – 9) -

A:

Q: 2X + 2 ) dx 3. 2X 6 + 2e

A:

Q: So dx VL-4X2

A:

Q: 1-x dx (x- 3Xx-2)

A:

Q: -1) dx 3

A:

Q: 5 x´ - 9 -9- +2)x dx X 5.

A:

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

A: We have to find the integral.

Q: 1 x2 - x + 12 x3 + 3x dx

A:

Q: 1) Find 1 x² +4x+13 dx.

A:

Q: (x²+1)dx 10. x2

A:

Q: dx d. de. f(3x + 2)5 dx f sec²x

A:

Q: dx V 20+8x x2

A:

Q: x3 dx 10. x2 + 2)

A: As we know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1ax+bdx=1alnax+b+b From the given…

Q: (cosh ar +h)dr

A:

Q: 8 11xe-x dx

A:

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

A:

Q: 5x2+11x+2 dx x(x+1)²

A: integration using partial fraction

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: A = - 1)³² dx - (x - 1)³dx + 5²0x

A:

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

A:

Q: 1) 3 )dx

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

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

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

Q: (1-2х)2 dx 3.

A: Given :       ∫1 - 2x2x dx   To evaluate the given integral.