A curve \( g(x)=\int x^{27}\left(1+x+x^{2}\right)^{6}\left(6 x^{2}+...

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A curve \( g(x)=\int x^{27}\left(1+x+x^{2}\right)^{6}\left(6 x^{2}+5 x+4\right) d x \) is passing through origin. Then
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(1) \( g(1)=\frac{3^{7}}{7} \)
(2) \( g(1)=\frac{2^{7}}{7} \)
(3) \( g(-1)=\frac{1}{7} \)
(4) \( g(-1)=\frac{3^{7}}{14} \)
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