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Hayley Sanders

Hayley Sanders

Answered question

2022-05-19

Calculate I =   0 π sin ( x ) ln ( x ) ln ( π x x 2 ) d x
I don't know if this can work that
0 a f ( x ) d x = 1 2 0 a ( f ( x ) + f ( a x ) ) d x

Answer & Explanation

stacan6t

stacan6t

Beginner2022-05-20Added 13 answers

Your strategy is just right (with a = π , f ( x ) = sin x ln x ln x + ln ( π x ) ): it gives I = 1 2 0 π sin x d x = 1

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