If ∫ x3 dx√(1 + x2) = a(1 + x2)3/2 + b√(1 + x2) + C, then the values of a and b are respectively:

If ∫ sinθ dθ(2 + cosθ)(3 + 4cosθ) = A ln|2 + cosθ| + B ln|3 + 4cosθ| + C, then what is the value of A?

If ∫ sinθ dθ(2 + cosθ)(3 + 4cosθ) = A ln|2 + cosθ| + B ln|3 + 4cosθ| + C, then what is the value of B?

∫ loge(x) dx is equal to: (where C is an arbitrary constant)