integrate sin^2(x) + 2 sin^4(2x) from 0 to pi - Wolfram|Alpha

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Definite integral:

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Riemann sums:

link to /input/?i=%285+%CF%80%29%2F4&lk=1&a=ClashPrefs_*Math-
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Indefinite integral:

link to /input/?i=%285+x%29%2F4-1%2F4+sin%282+x%29-1%2F4+sin%284+x%29%2B1%2F32+sin%288+x%29&lk=1&a=ClashPrefs_*Math-
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