(3/2)∫ 1/[(x-1/2)²+3/4] dx=?

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(3/2)∫ 1/[(x-1/2)²+3/4] dx=?
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(3/2)∫ 1/[(x-1/2)²+3/4] dx=?
(3/2)∫ 1/[(x-1/2)²+3/4] dx=?

(3/2)∫ 1/[(x-1/2)²+3/4] dx=?