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Advanced-Calculus-Without-using-the-Feynman-s-trick-Find-the-value-of-I-0-1-Log-1-x-2-1-x-dx-m-n-




Question Number 144419 by mnjuly1970 last updated on 25/Jun/21
     ...Advanced ....Calculus...  Without using the Feynman′s trick ,       Find the value of   ::                     I :=∫_0 ^( 1) ((Log (1+ x^( 2) ))/(1 +x)) dx=?      m.n...
$$\:\:\:\:\:…{Advanced}\:….{Calculus}… \\ $$$${Without}\:{using}\:{the}\:{Feynman}'{s}\:{trick}\:, \\ $$$$\:\:\:\:\:{Find}\:{the}\:{value}\:{of}\:\:\::: \\ $$$$\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{I}\::=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{Log}\:\left(\mathrm{1}+\:\mathrm{x}^{\:\mathrm{2}} \right)}{\mathrm{1}\:+\mathrm{x}}\:\mathrm{dx}=? \\ $$$$\:\:\:\:\mathrm{m}.\mathrm{n}… \\ $$
Answered by Kamel last updated on 25/Jun/21
Commented by mnjuly1970 last updated on 25/Jun/21
thank you so much mr kamel
$${thank}\:{you}\:{so}\:{much}\:{mr}\:{kamel} \\ $$

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