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find-G-1-4-0-pi-2-ln-1-sin-x-1-sin-x-dx-




Question Number 212319 by Ghisom last updated on 09/Oct/24
find  G=(1/4)∫_0 ^(π/2) ln ((1+sin x)/(1−sin x)) dx
$$\mathrm{find} \\ $$$${G}=\frac{\mathrm{1}}{\mathrm{4}}\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\mathrm{ln}\:\frac{\mathrm{1}+\mathrm{sin}\:{x}}{\mathrm{1}−\mathrm{sin}\:{x}}\:{dx} \\ $$

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