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Question Number 171684 by SANOGO last updated on 19/Jun/22 Answered by mindispower last updated on 19/Jun/22 $${f}\left(−{x}\right)={f}\left({x}\right)\Leftrightarrow{etudier}\:{f}\:{sur}\:{R}_{+} \\ $$$$\forall{x}\in{R}_{+} \\ $$$$\mid{F}\left({x}\right)\mid\leqslant\int_{\mathrm{1}} ^{\infty} \frac{{ln}\left({t}\right)}{{x}^{\mathrm{2}} +{t}^{\mathrm{2}} }{dt}\leqslant\int_{\mathrm{1}}…

Question Number 171664 by LEKOUMA last updated on 19/Jun/22 $${Solve} \\ $$$$\int\frac{{x}^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }\mathrm{tan}^{−\mathrm{1}} {xdx} \\ $$ Commented by infinityaction last updated on 19/Jun/22 $${put}\:…

Question Number 40587 by mondodotto@gmail.com last updated on 24/Jul/18 $$\boldsymbol{\mathrm{find}}\:\int\boldsymbol{\mathrm{e}}^{\boldsymbol{{x}}} \boldsymbol{\mathrm{ln}{x}}\:\boldsymbol{\mathrm{d}{x}} \\ $$ Commented by prof Abdo imad last updated on 25/Jul/18 $$\int\:{e}^{{x}} {ln}\left({x}\right){dx}\:=\:\int\left(\sum_{{n}=\mathrm{0}} ^{\infty}…

Question Number 106123 by DeepakMahato last updated on 03/Aug/20 $${In}\:{a}\:\bigtriangleup{ABC}\:{with}\:{sides}\:\boldsymbol{{a}}=\mathrm{6}{cm},\boldsymbol{{b}}=?\:{and}\:\boldsymbol{{c}}=? \\ $$$${area}\:{is}\:\mathrm{270}{cm}^{\mathrm{2}} .{And}\:{if}\: \\ $$$${midline}\:{of}\:{the}\:\bigtriangleup\:{is}\:\mathrm{7}\:{cm} \\ $$$${find}\:{the}\:{value}\:{of}\:{sides}\:\:\boldsymbol{{b}}\:\boldsymbol{{and}}\:\boldsymbol{{c}}. \\ $$$$ \\ $$$$\boldsymbol{{Please}}\:\boldsymbol{{solve}}\:\boldsymbol{{this}}\:\boldsymbol{{with}}\:\boldsymbol{{a}}\:\boldsymbol{{little}} \\ $$$$\boldsymbol{{explanation}}. \\ $$…

Question Number 171620 by mokys last updated on 18/Jun/22 Commented by mokys last updated on 18/Jun/22 $${how}\:{can}\:{it}\:{proved} \\ $$ Commented by puissant last updated on…