\[\int_{{}}^{{}}{\frac{a\ dx}{b+c{{e}^{x}}}}=\][MP PET 1988; BIT Ranchi 1979]

\[\frac{a}{b}\log \left( \frac{b+c{{e}^{x}}}{{{e}^{x}}} \right)+c\]

\[\frac{a}{b}\log \left( \frac{{{e}^{x}}}{b+c{{e}^{x}}} \right)+c\]

\[\frac{b}{a}\log \left( \frac{{{e}^{x}}}{b+c{{e}^{x}}} \right)+c\]

\[\frac{b}{a}\log \left( \frac{b+c{{e}^{x}}}{{{e}^{x}}} \right)+c\]

\[\int_{{}}^{{}}{\frac{a\ dx}{b+c{{e}^{x}}}}=\][MP PET 1988; BIT Ranch

1.	\[\int_{{}}^{{}}{\frac{a\ dx}{b+c{{e}^{x}}}}=\][MP PET 1988; BIT Ranchi 1979]
A.	\[\frac{a}{b}\log \left( \frac{{{e}^{x}}}{b+c{{e}^{x}}} \right)+c\]
B.	\[\frac{a}{b}\log \left( \frac{b+c{{e}^{x}}}{{{e}^{x}}} \right)+c\]
C.	\[\frac{b}{a}\log \left( \frac{{{e}^{x}}}{b+c{{e}^{x}}} \right)+c\]
D.	\[\frac{b}{a}\log \left( \frac{b+c{{e}^{x}}}{{{e}^{x}}} \right)+c\]
Answer» B. \[\frac{a}{b}\log \left( \frac{b+c{{e}^{x}}}{{{e}^{x}}} \right)+c\]