5. 試求 ∫_0^1 _e (1+x) dx = ?(A) 1/2 _e 2(B) 2 _e 2 - 1(C) 2 _e 2(D) 1/2 (_e 2)^2

12. 試求 \(\int \frac{1}{x^2(a-bx)} dx = ?\) (A) \(\frac{b}{a^2}\log_e \left|\frac{x}{a-bx}\right| - \frac{1}{ax} + C\) (B) \(\frac{b}{a^2}\log_e \left|\frac{x}{a-bx}\right| - \frac{1}{bx} + C\) (C) \(\frac{b^2}{a}\log_e \left|\frac{x}{a-bx}\right| - \frac{1}{ax} + C\) (D) \(\frac{b^2}{a^2}\log_e \left|\frac{x}{a-bx}\right| - \frac{1}{ax} + C\)