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

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Let \( f(x) \) is a continuous function for all real values of \( x \) and satisfies
\( \mathrm{P} \)
\( \int_{0}^{x} f(t) d t=\int_{x}^{1} t^{2} \cdot f(t) d t+\frac{x^{16}}{8}+\frac{x^{6}}{3}+a \), then value of ' \( a \) ' is equal to
(1) \( -\frac{1}{24} \)
(2) \( \frac{17}{168} \)
(3) \( \frac{1}{7} \)
(4) None of these


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