Question Number 49903 by rahul 19 last updated on 12/Dec/18 Commented by rahul 19 last updated on 12/Dec/18 $${Period}\:{of}\:{f}\left({x}\right)=\mathrm{4}. \\ $$ Answered by mr W…
Question Number 49902 by rahul 19 last updated on 12/Dec/18 $${If}\:{F}\left({t}\right)=\:\int_{\mathrm{0}} ^{\:{t}} {e}^{{t}−{y}} .{ydy}. \\ $$$${Prove}\:{that}\:{F}\left({t}\right)=\:{e}^{{t}} −\left(\mathrm{1}+{t}\right). \\ $$ Commented by Abdo msup. last updated…
Question Number 49898 by Raj Singh last updated on 12/Dec/18 Commented by Abdo msup. last updated on 12/Dec/18 $${I}\:=\int_{\mathrm{1}} ^{\mathrm{400}\left[{x}\right]} \:\:{e}^{\left[{t}\right]} {dt}\:=\sum_{{k}=\mathrm{1}} ^{\mathrm{400}\left[{x}\right]−\mathrm{1}} \:\int_{{k}} ^{{k}+\mathrm{1}}…
Question Number 49838 by MJS last updated on 11/Dec/18 $$\int\frac{{dx}}{\:\sqrt{\left({a}+\mathrm{1}\right)\mathrm{cos}\:\mathrm{2}{x}\:+\mathrm{4cos}\:{x}\:−{a}+\mathrm{3}}}=? \\ $$ Commented by MJS last updated on 11/Dec/18 $$\int\frac{{dx}}{\:\sqrt{\left({a}+\mathrm{1}\right)\mathrm{cos}\:\mathrm{2}{x}\:+\mathrm{4cos}\:{x}\:−{a}+\mathrm{3}}}= \\ $$$$\:\:\:\:\:\left[{t}=\frac{{x}}{\mathrm{2}}\:\rightarrow\:{dx}=\mathrm{2}{dt}\right] \\ $$$$=\mathrm{2}\int\frac{{dt}}{\:\sqrt{\left({a}+\mathrm{1}\right)\mathrm{cos}\:\mathrm{4}{t}\:+\mathrm{4cos}\:\mathrm{2}{t}\:−{a}+\mathrm{3}}}= \\…
Question Number 115366 by Bird last updated on 25/Sep/20 $${calculate}\:\int_{−\mathrm{1}} ^{\mathrm{2}} \:\frac{{dx}}{{ch}^{\mathrm{2}} {x}\:+{sh}^{\mathrm{2}} {x}} \\ $$ Answered by MJS_new last updated on 25/Sep/20 $$\int\frac{{dx}}{\mathrm{cosh}^{\mathrm{2}} \:{x}\:+\mathrm{sinh}^{\mathrm{2}}…
Question Number 115367 by Bird last updated on 25/Sep/20 $${solve}\:{xy}^{''} −\left({x}^{\mathrm{2}} +\mathrm{1}\right){y}^{'} \:\:={x}^{\mathrm{2}} {sin}\left(\mathrm{2}{x}\right) \\ $$ Answered by Olaf last updated on 26/Sep/20 $$ \\…
Question Number 49829 by mhozhez last updated on 11/Dec/18 $$\int\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{4}} +\mathrm{1}}{dx} \\ $$ Commented by maxmathsup by imad last updated on 11/Dec/18 $${let}\:{I}\:=\:\int\:\:\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{4}}…
Question Number 115364 by Bird last updated on 25/Sep/20 $${calculate}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\sqrt{{xy}}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dxdy} \\ $$ Answered by Olaf last updated on 25/Sep/20 $$\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} }…
Question Number 115365 by Bird last updated on 25/Sep/20 $${calculate}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\frac{{arctan}\left({xy}\right)}{\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }}{dxdy} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 49827 by rahul 19 last updated on 11/Dec/18 $${The}\:{integral}\:\int_{\mathrm{0}} ^{\frac{\mathrm{1}}{\mathrm{2}}} \frac{\mathrm{ln}\:\left(\mathrm{1}+\mathrm{2}{x}\right)}{\mathrm{1}+\mathrm{4}{x}^{\mathrm{2}} }{dx}\:=\:? \\ $$$$\left.{a}\left.\right)\left.\:\left.\frac{\pi}{\mathrm{4}}{ln}\mathrm{2}\:\:\:\:{b}\right)\frac{\pi}{\mathrm{8}}{ln}\mathrm{2}\:\:\:\:{c}\right)\frac{\pi}{\mathrm{16}}{ln}\mathrm{2}\:\:\:{d}\right)\frac{\pi}{\mathrm{32}}{ln}\mathrm{2} \\ $$ Commented by rahul 19 last updated on…