x +1 dx | (25 – 12) 3 2

Q: 1 dxdy (2x+3y)² 2

A:

Q: dx J (x² + 2x – 10)²

A:

Q: 4. Find 4x2+2x-1 dx. x3+x2

A: It is required to find the integral ∫4x2+2x-1x3+x2dx. Consider the integrand 4x2+2x-1x3+x2. Find the…

Q: dx 9 + x2

A: Integrating the function of the standard form we have,

Q: (5x – 2x2 + 6)8(x+2)dx

A:

Q: d dx 3x+4 2x+5 z (3x+4) ² (2x + 5)2

A:

Q: d [(5 – 3x – 4x³)5(3x – 4)] dx

A: Derivative using product rule.

Q: 4x+12 dx -36 (#4) |

A: Taking 4 common outside from the numerators term, The denominator can be written as

Q: (2х — 8) dx 2 х — 8х + 25 X

A:

Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: S 3x +6 (1 + 8x + 2xzs dx

A:

Q: dx |Vx + 5

A: Explanation: Given that,  ∫xx+5 Let  u=x+5du=12x+5dxdx=2x+5du Now…

Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

A:

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: dx (x2 + 2)2

A:

Q: f 12x -9x +2 dx 3.

A:

Q: 8. Evaluate (3x² +6x² – 4x +1)dx.

A:

Q: dx Evaluate 34 N2 + 3x - 2x

A:

Q: dx x(x2 – 8x + 16)

A: Use partial fraction to solve

Q: 3x+ 14x + 14 x +4 dx 3)

A:

Q: dx 2. Evaluate -2 v2x2 + 8x + 10

A:

Q: x³ +x +2 dx x² + 2x – 8

A:

Q: |(3x – 2)(6x + 5)dx

A: