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Trig-integral

Calculus Level 5

Let

\[I = \int_{5\pi/8}^{7\pi/8} \sqrt{\sum_{n=0}^{\infty} \sin^{2n} x} \ dx\]

Find \(\lfloor 10^{9}I \rfloor\).

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Excel in math and science

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by Jake Lai

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