Using symmetry (advanced)

Calculus Level 3

0π/2ln(sin(x))dx=?\large \int_{0}^{\pi/2} \ln(\sin(x))dx = ?

Hint: 0π/2ln(sin(x))dx=0π/2ln(cos(x))dx\displaystyle \int_{0}^{\pi/2} \ln(\sin(x))dx =\int_{0}^{\pi/2} \ln(\cos(x))dx

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