Use Long Division to Evaluate the Integral $\int_{0}^{1} \frac{x^{3}+4 x^{2}-12 x+1}{x^{2}+4 x-12} d x$

Multiple Choice

Use long division to evaluate the integral. $\int_{0}^{1} \frac{x^{3}+4 x^{2}-12 x+1}{x^{2}+4 x-12} d x$ The choices are rounded to 3 decimal places.

A) $-4.606$
B) $5.394$
C) $0.394$
D) $-9.606$
E) $10.394$