Question Number 68038 by mathmax by abdo last updated on 03/Sep/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} −\mathrm{1}\right)}{{x}^{\mathrm{2}} \:+\mathrm{4}}{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 68039 by mathmax by abdo last updated on 03/Sep/19 $${find}\:\int\:\:{arctan}\left({x}+\frac{\mathrm{1}}{{x}}\right){dx} \\ $$ Commented by mathmax by abdo last updated on 04/Sep/19 $${let}\:{I}\:=\int\:{arctan}\left({x}+\frac{\mathrm{1}}{{x}}\right){dx}\:\:{by}\:{parts}\:{we}\:{have} \\…
Question Number 68036 by mathmax by abdo last updated on 03/Sep/19 $${let}\:{f}\left({x}\right)\:={cos}\left(\alpha{x}\right)\:\:,\mathrm{2}\pi\:{periodic}\:\:\:{developp}\:{f}\:{at}\:{fourier}\:{serie}. \\ $$$$\alpha\:\in\:{R}−{Z} \\ $$ Commented by mathmax by abdo last updated on 05/Sep/19…
Question Number 68037 by mathmax by abdo last updated on 03/Sep/19 $${find}\:\int\:\:\:\frac{{x}^{\mathrm{2}} {dx}}{\left({x}^{\mathrm{3}} −\mathrm{8}\right)\left({x}^{\mathrm{4}} \:+\mathrm{1}\right)} \\ $$ Answered by MJS last updated on 04/Sep/19 $$\int\frac{{x}^{\mathrm{2}}…
Question Number 68034 by mathmax by abdo last updated on 03/Sep/19 $${let}\:{f}\left({x}\right)\:={e}^{−{x}} \:\:,\:\:\mathrm{2}\pi\:\:{periodic}\:\:{developp}\:{f}\:{at}\:{fourier}\:{serie}. \\ $$ Commented by mathmax by abdo last updated on 07/Sep/19 $${f}\left({x}\right)\:=\sum_{{n}=−\infty}…
Question Number 2499 by Syaka last updated on 21/Nov/15 $${ABCD}.{EFGH}\:{is}\:{cube},\:{X}\:{is}\:{midpoint}\:{EF} \\ $$$${if}\:{AB}\:=\:\mathrm{6}\:{cm},\:{how}\:{distance}\:{AX}\:{to}\:{BD}?? \\ $$ Commented by prakash jain last updated on 21/Nov/15 $$\mathrm{What}\:\mathrm{is}\:\mathrm{AM}?\:\mathrm{Is}\:\mathrm{X}=\mathrm{M}? \\ $$…
Question Number 133568 by bemath last updated on 23/Feb/21 $$\mathrm{Proof}\:\mathrm{the}\:\mathrm{series}\:\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{2}}{\mathrm{9}+\mathrm{2n}\left(\mathrm{ln}\:\mathrm{n}\right)^{\mathrm{2}} } \\ $$$$\mathrm{convergent} \\ $$$$ \\ $$ Answered by EDWIN88 last updated on…
Question Number 68035 by mathmax by abdo last updated on 03/Sep/19 $${let}\:{f}\left({x}\right)\:={e}^{−{i}\alpha{x}} \:\:\:\:,\mathrm{2}\pi\:\:{periodic}\:\:.{developp}\:{f}\:{at}\:{fourier}\:{serie}. \\ $$ Commented by mathmax by abdo last updated on 08/Sep/19 $${f}\left({x}\right)\:=\sum_{{n}=−\infty}…
Question Number 2497 by 123456 last updated on 21/Nov/15 $$\mathrm{S}=\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\frac{{n}+\mathrm{2}}{\left({n}+\mathrm{1}\right)\left({n}+\mathrm{3}\right)} \\ $$$$\mathrm{does}\:\mathrm{S}\:\mathrm{converge}? \\ $$ Answered by prakash jain last updated on 21/Nov/15 $$\mathrm{S}=\underset{{n}=\mathrm{0}}…
Question Number 133570 by Ahmed1hamouda last updated on 23/Feb/21 Commented by Ahmed1hamouda last updated on 23/Feb/21 Solve the differential equations Commented by EDWIN88 last updated on 23/Feb/21 $$…