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A line tangent to the graph of the function \( y \) \( =f(x) \) at the point \( x=a \) forms an angle \( \pi / 3 \) with \( y \)-axis and at \( x=b \) and angle \( \pi / 4 \) with \( x \)-axis then \( \int_{a}^{b} f^{\prime \prime}(x) d x \) is
(a) \( 1 / \sqrt{3}-1 \)
(b) \( -\pi / 12 \)
(c) \( \pi / 12 \)
(d) \( \sqrt{3}-1 \)
\( \mathrm{P} \)
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