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Category: Integration

following-the-newest-trend-what-do-I-say-ahead-of-it-of-course-I-post-this-answer-to-one-of-the-next-questions-look-out-for-it-so-you-won-t-miss-it-I-I-1-2I-2-5-7-3-2-pi-C-

Question Number 111174 by Her_Majesty last updated on 02/Sep/20 $${following}\:{the}\:{newest}\:{trend}\:−\:{what}\:{do}\:{I} \\ $$$${say}!?\:−\:{ahead}\:{of}\:{it},\:{of}\:{course}!\:{I}\:{post}\:{this} \\ $$$${answer}\:{to}\:{one}\:{of}\:{the}\:{next}\:{questions},\:{look} \\ $$$${out}\:{for}\:{it}\:{so}\:{you}\:{won}'{t}\:{miss}\:{it}! \\ $$$$ \\ $$$${I}={I}_{\mathrm{1}} −\mathrm{2}{I}_{\mathrm{2}} =\xi\left(\mathrm{5}\right)+\Gamma\left(\mathrm{7}/\mathrm{3}\right)−\mathrm{2}/\sqrt{\pi}+{C} \\ $$ Terms…

find-f-x-y-0-pi-2-ln-x-y-sin-d-with-y-lt-x-2-find-f-2-3-3-find-f-2-3-

Question Number 45600 by maxmathsup by imad last updated on 14/Oct/18 $${find}\:{f}\left({x},{y}\right)\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left({x}+{y}\:{sin}\theta\right){d}\theta\:\:{with}\:\:\mid{y}\mid<\mid{x}\mid \\ $$$$\left.\mathrm{2}\right)\:{find}\:{f}\left(\mathrm{2},\mathrm{3}\right) \\ $$$$\left.\mathrm{3}\right){find}\:{f}\left(\sqrt{\mathrm{2}},\sqrt{\mathrm{3}}\right)\:. \\ $$ Commented by maxmathsup by imad…

Question-45561

Question Number 45561 by Sanjarbek last updated on 14/Oct/18 Commented by tanmay.chaudhury50@gmail.com last updated on 14/Oct/18 $${x}={sin}\theta\:\:\:\:{dx}={cos}\theta{d}\theta \\ $$$$\int\frac{{cos}\theta{d}\theta}{\:\sqrt{{cos}\theta}} \\ $$$$\int\sqrt{{cos}\theta}\:{d}\theta \\ $$$${wait}… \\ $$…