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Question Number 46146 by Sanjarbek last updated on 21/Oct/18

Commented by Meritguide1234 last updated on 21/Oct/18

e^(∫_0 ^1 ln(x+(√(1+x^2 )))dx)

$${e}^{\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right){dx}} \\ $$

Commented by Meritguide1234 last updated on 21/Oct/18

e^(log(1+(√2))−((√2)−1)) =((√2)+1)e^((1−(√2)))

$${e}^{{log}\left(\mathrm{1}+\sqrt{\mathrm{2}}\right)−\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)} =\left(\sqrt{\mathrm{2}}+\mathrm{1}\right){e}^{\left(\mathrm{1}−\sqrt{\mathrm{2}}\right)} \\ $$

Commented by Meritguide1234 last updated on 22/Oct/18

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