Integral 0 to pi/2[ log(sinx) - log(2 cosx)]

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Integral 0 to pi /2[ log(sinx) - log(2 cosx)]
plus two definite integral 2023 board exam question
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Thank you so much.. You have solved this question in the most simplest way sir.. Thank you for making this question easier sir..

sivaranjinithirumal