Question Number 45128 by Necxx last updated on 09/Oct/18 Commented by Necxx last updated on 09/Oct/18 $${please}\:{help}\:{with}\:{the}\:{last}\:{question}_{} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…
Question Number 45117 by rahul 19 last updated on 09/Oct/18 $${Prove}\:{that}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{x}^{{a}} −\mathrm{1}}{\mathrm{log}\:{x}}\:{dx}\:=\:\mathrm{log}\:\left({a}+\mathrm{1}\right). \\ $$ Commented by maxmathsup by imad last updated on 09/Oct/18…
Question Number 176188 by gloriousman last updated on 14/Sep/22 $$ \\ $$$$\underset{\:\sqrt{\mathrm{2}}} {\overset{\mathrm{2}} {\int}}\frac{\mathrm{sec}^{\mathrm{2}} \left(\mathrm{sec}^{−\mathrm{1}} \mathrm{x}\right)}{\mathrm{x}\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}} \\ $$$$ \\ $$ Answered by BaliramKumar last…
Question Number 176187 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{dy}}{\mathrm{tan}^{−\mathrm{1}} \mathrm{y}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)} \\ $$ Answered by BaliramKumar last updated on 14/Sep/22 $$\int\frac{\mathrm{dy}}{\mathrm{tan}^{−\mathrm{1}} \mathrm{y}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)} \\…
Question Number 176185 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{e}^{\mathrm{sin}^{−\mathrm{1}} \mathrm{x}} }{\:\sqrt{\mathrm{1}−\mathrm{x}_{} ^{\mathrm{2}} }}\:\mathrm{dx} \\ $$ Commented by leodera last updated on 14/Sep/22 $$\int\frac{{e}^{\mathrm{sin}^{−\mathrm{1}} \mathrm{x}}…
Question Number 176180 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}}} \\ $$$$ \\ $$ Answered by Ar Brandon last updated on 14/Sep/22 $${I}=\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}}}=\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{\left({x}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 176160 by peter frank last updated on 14/Sep/22 $$\int\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{x}^{\mathrm{4}} +\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\mathrm{dx} \\ $$ Answered by Ar Brandon last updated on 14/Sep/22 $${I}=\int\frac{{x}^{\mathrm{3}}…
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Question Number 45075 by arvinddayama01@gmail.com last updated on 08/Oct/18 $$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{t}^{\mathrm{a}−\mathrm{1}} }{\mathrm{1}+\mathrm{t}}\mathrm{dt}=\frac{\pi}{\mathrm{sin}\left(\pi\mathrm{a}\right)}\:\:\: \\ $$$$\mathrm{please}\:\mathrm{prove}\:\mathrm{that} \\ $$ Commented by abdo.msup.com last updated on 08/Oct/18 Commented…
Question Number 176133 by cortano1 last updated on 13/Sep/22 $$\:\:\Omega\:=\:\int\:\frac{−\mathrm{7x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{8}}{\mathrm{4x}^{\mathrm{3}} +\mathrm{8x}^{\mathrm{2}} −\mathrm{20x}−\mathrm{24}}\:\mathrm{dx} \\ $$ Answered by kapoorshah last updated on 13/Sep/22 $$\Omega\:=\:\:−\mathrm{2ln}\:\mid{x}\:+\:\mathrm{3}\mid\:+\:\frac{\mathrm{3}}{\mathrm{4}}\mathrm{ln}\:\mid{x}\:+\:\mathrm{1}\mid\:−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid{x}\:−\:\mathrm{2}\mid\:+\:{c} \\ $$…