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Question Number 70602 by oyemi kemewari last updated on 06/Oct/19

I=∫_0 ^∞ ln((√(1−x)) +(√(1+x)))dx

$$\mathrm{I}=\int_{\mathrm{0}} ^{\infty} \mathrm{ln}\left(\sqrt{\mathrm{1}−\mathrm{x}}\:+\sqrt{\mathrm{1}+\mathrm{x}}\right)\mathrm{dx} \\ $$

Commented by mathmax by abdo last updated on 06/Oct/19

error in the question the function x→(√(1−x))+(√(1+x)) is defined on  [−1,1]....!

$${error}\:{in}\:{the}\:{question}\:{the}\:{function}\:{x}\rightarrow\sqrt{\mathrm{1}−{x}}+\sqrt{\mathrm{1}+{x}}\:{is}\:{defined}\:{on} \\ $$$$\left[−\mathrm{1},\mathrm{1}\right]....! \\ $$

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