Evaluate the integral. (Use C for the constant of integration.)
∫ (5x² + x + 5) /((x² + 1) ²) dx
a) (1/2) ln|x² + 1| + x/(x² + 1) + 5arctan(x) + C
b) ln|x² + 1| + x/(x² + 1) + 5arctan(x) + C
c) (1/2) ln|x² + 1| + (1/2) x/(x² + 1) + 5arctan(x) + C
d) (1/2) ln|x² + 1| + x/(x² + 1) + 5arcsin(x) + C