1.

What is \(\smallint \frac{{dx}}{{{2^x} - 1}}\) equal to?

A. ln(2x – 1) + c
B. \(\frac{{\ln \left( {1 - {2^{ - x}}} \right)}}{{ln2}} + c\)
C. \(\frac{{{\rm{ln}}\left( {{2^{ - x}} - 1} \right)}}{{2\ln 2}} + c\)
D. \(\frac{{\ln \left( {1 + {2^{ - x}}} \right)}}{{ln2}} + c\)
Answer» C. \(\frac{{{\rm{ln}}\left( {{2^{ - x}} - 1} \right)}}{{2\ln 2}} + c\)


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