Let \( i(x) \) is a continuous function for all real values of \( x \) and satisfies \( \int_{0}...

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Let \( i(x) \) is a continuous function for all real values of \( x \) and satisfies \( \int_{0}^{x} f(t) d t=\int_{x}^{1} t^{2} \cdot f(t) d t+\frac{x^{16}}{8}+\frac{x^{6}}{3}+a+a \) then value of \( a \) is equal to
\( \mathrm{P} \)
W
(A) \( -\frac{1}{24} \)
(B) \( \frac{17}{168} \)
(C) \( \frac{1}{7} \)
(D) None of these
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