$\lim _{x\to 0}\frac{48}{{x}^{4}}{\int }_{0}^{x}\frac{{t}^{3}}{{t}^{6}+1}dt$ is equal to _______ . [JEE Main 2023, 30 Jan (Shift 1)]

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\(\lim _{x\to 0}\frac{48}{{x}^{4}}{\int }_{0}^{x}\frac{{t}^{3}}{{t}^{6}+1}dt\) is equal to _______ . [JEE Main 2023, 30 …