1.

\[\int_{{}}^{{}}{\frac{2x}{{{(2x+1)}^{2}}}dx=}\] [DSSE 1985]

A.            \[\frac{1}{2}\log (2x+1)+\frac{1}{2(2x+1)}+c\]                           
B.            \[\frac{1}{2}\log (2x+1)-\frac{1}{2(2x+1)}+c\]
C.            \[2\log (2x+1)+\frac{1}{2(2x+1)}+c\]                                          
D.            \[2\log (2x+1)-\frac{1}{2(2x+1)}+c\]
Answer» B.            \[\frac{1}{2}\log (2x+1)-\frac{1}{2(2x+1)}+c\]


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