Question

Evaluate
(1) ∫ (x ∧4 + 1) /(x² + 1) dx
2. ∫ √x /√a³-√x³ dx
3.∫ dx/2-3cos2x
4. ∫ dx/(32-2x²)
5.∫√x²-√a²/x dx

Answer 1

1)x^3/3+x -2x +2ln (x^2+1)
2)-2x^5/2 /5
3)-x-2/sin2x
5)x^2/2-a ln (x)