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Calculus Level 4

\(\int _{ 0 }^{ \frac { 2\pi }{ 5 } }{ sin\left( { x }^{ \left\lfloor x \right\rfloor } \right) } dx\\ Find\quad the\quad value\quad of\quad the\quad above\\ integral.\quad If\quad S\quad is\quad the\quad given\quad value\\ find\quad \left\lfloor 100S \right\rfloor .\\ \\ \) \(\left\lfloor x \right\rfloor \quad represents\quad the\quad greatest\quad integer\\ less\quad than\quad or\quad equal\quad to\quad x.\)

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