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When a spring is stretched by a distance \( x \), it exerts a force, given by \( F=\left(-5 x-16 x^{3}\right) N \). The work done, when the spring is stretched from \( 0.1 \mathrm{~m} \) to \( 0.2 \mathrm{~m} \) is
[UP CPMT 2006]
(a) \( 8.7 \times 10^{-2} \mathrm{~J} \)
(b) \( 12.2 \times 10^{-2} \mathrm{~J} \)
\( \mathrm{P} \)
W
(c) \( 8.7 \times 10^{-1} \mathrm{~J} \)
(d) \( 12.2 \times 10^{-1} \mathrm{~J} \)
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