If \( \int \frac{1-x^{7}}{x\left(1+x^{7}\right)} d x=a \log _{e}|x|...

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If \( \int \frac{1-x^{7}}{x\left(1+x^{7}\right)} d x=a \log _{e}|x|+b \log _{e}\left|x^{7}+1\right|+c \), then
\( \mathrm{P} \)
(1) \( a=1 \)
(2) \( a=-1 \)
(3) \( b=\frac{2}{7} \)
(4) \( b=-\frac{2}{7} \)
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