Giải bởi Vietjack
\(\int {\frac{{{2^x} - {3^{x + 1}}}}{{{5^{x + 2}}}}} dx = \frac{1}{{25}}\int {{{\left( {\frac{2}{5}} \right)}^x}} dx - \frac{3}{{25}}\int {{{\left( {\frac{3}{5}} \right)}^x}} dx = \frac{1}{{25}} \cdot \frac{{{{(0,4)}^x}}}{{\ln 0,4}} - \frac{3}{{25}} \cdot \frac{{{{(0,6)}^x}}}{{\ln 0,6}} + C.\)
Chọn D.
