\( \lim _{x \rightarrow 0^{+}} \frac{\int_{0}^{x^{2}}(\sin \sqrt{t}...

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\( \lim _{x \rightarrow 0^{+}} \frac{\int_{0}^{x^{2}}(\sin \sqrt{t}) d t}{x^{3}} \) is equal to:
\( \mathrm{P} \)
W)
[JEE Main-2021 (February)]
(a) \( \frac{1}{15} \)
(b) 0
(c) \( \frac{2}{3} \)
(d) \( \frac{3}{2} \)
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