$\displaystyle\int{\frac{1+{{e}^{-x}}}{1-4{{e}^{-x}}}\mathrm{ d}x}$

Question

Accepted Answer

$Method I: ln|eˣ-4| + ¼ln|1-4e⁻ˣ| + c; Method II: x + (5/4)ln|1-4e⁻ˣ| + c$

ACJC Techniques of Integration Tutorial Q16