(1) | a 1 x3 + bºx dx

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: 2 (x°+4x 2-6)d水

A: Let I=∫12x3+4x2-6dx

Q: Evaluate (x² + y²) dxdy

A:

Q: dx Vx² +9x² (In x³ )° 2

A:

Q: Evalvate 5x-12 X (x²+4) dx

A:

Q: dx 9 + x2

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

Q: Evaluate S (2x+3) dx x² (x²+1)

A:

Q: X2 dx ex+3

A:

Q: X Find | dx x²+8x+12

A:

Q: 7 x2 dx + 4x + 20 13

A:

Q: 2x (i) da 1+z?

A:

Q: √4x216x + 19 (x - 2)6 S - dx

A:

Q: (4x² – 5x)5(8x – 5) dx

A:

Q: dx :Vx2 -1 1

A:

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: Find 00 x² (x²+4) (x²+2x+2) dx

A:

Q: dx x² - 4x + 13 X

A: Given  ∫dxx2-4x+13To find integral:

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

A:

Q: 11-3x Determine f dx x+2x-3

A:

Q: IT 5tan(3x) dx 12

A: Given ∫π12π95tan(3x) dx

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

A:

Q: x 2 dx + 4x +3

A: Perform integration

Q: f(x) = 5x + 2 a.) f(-2) b.) f(5)

A: To find the f(-2) and f(5)

Q: Evaluate 9x 9 (2x - 3)(x + 3) T -dx +C

A: