Question Number 63738 by MJS last updated on 08/Jul/19 $$\mathrm{useful}\:\mathrm{formula} \\ $$$$======== \\ $$$$ \\ $$$$\forall{a}\in\mathbb{R}^{+} :\forall{b}\:\in\mathbb{R}:\:{a}\:\mathrm{sin}\:{x}\:+{b}\:\mathrm{cos}\:{x}\:=\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }\mathrm{sin}\:\left({x}+\mathrm{arctan}\:\frac{{b}}{{a}}\right) \\ $$$$\int\frac{{dx}}{{a}\:\mathrm{sin}\:{x}\:+{b}\:\mathrm{cos}\:{x}}= \\ $$$$=\frac{\mathrm{1}}{\:\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }}\int\frac{{dx}}{\mathrm{sin}\:\left({x}+\mathrm{arctan}\:\frac{{b}}{{a}}\right)}=…
Question Number 129275 by abdurehime last updated on 14/Jan/21 $$\int\mathrm{e}^{\mathrm{x}^{\mathrm{x}} } \mathrm{dx}?????? \\ $$ Commented by abdurehime last updated on 14/Jan/21 $$\mathrm{no}\:\mathrm{one}???? \\ $$ Commented…
Question Number 129273 by abdurehime last updated on 14/Jan/21 $$\mathrm{please}\:\mathrm{answer}\:\mathrm{my}\:\mathrm{question} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 129269 by bramlexs22 last updated on 14/Jan/21 $$\:\int_{\mathrm{1}} ^{{a}} \:\frac{\mathrm{4}\sqrt{{x}}\:+{k}}{\:\sqrt{{x}}\:+\mathrm{1}}\:=\:\mathrm{4}{a}+\mathrm{3}\:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:\int_{\mathrm{1}} ^{\:{a}} \frac{\mathrm{1}}{\:\sqrt{{x}}\:+\mathrm{1}}\:{dx}\:. \\ $$ Answered by liberty last updated on 14/Jan/21…
Question Number 63721 by mathmax by abdo last updated on 08/Jul/19 $${calculate}\:\int\:\:\frac{{dx}}{\:\sqrt{\left({x}−\mathrm{1}\right)\left(\mathrm{2}−{x}\right)}} \\ $$ Commented by Prithwish sen last updated on 08/Jul/19 $$\mathrm{put}\:\mathrm{x}−\mathrm{l}\:=\:\mathrm{z}^{\mathrm{2}} \:\:\:\Rightarrow\mathrm{dx}\:=\:\mathrm{2zdz} \\…
Question Number 63722 by mathmax by abdo last updated on 08/Jul/19 $$\left.\mathrm{1}\right)\:{calculate}\:\int\:\left({x}^{\mathrm{2}} −{x}+\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{1}}{dx} \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{\mathrm{2}} −{x}+\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}} −{x}\:+\mathrm{1}}{dx}\:. \\ $$ Commented by Prithwish…
Question Number 63720 by mathmax by abdo last updated on 08/Jul/19 $${calculate}\:\int\sqrt{\left({x}−\mathrm{3}\right)\left(\mathrm{2}−{x}\right)}{dx} \\ $$ Commented by Prithwish sen last updated on 08/Jul/19 $$\int\sqrt{−\mathrm{x}^{\mathrm{2}} +\mathrm{5x}\:−\mathrm{6}}\:\mathrm{dx}\:\:=\:\int\sqrt{\left(\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} −\left(\mathrm{x}−\frac{\mathrm{5}}{\mathrm{2}}\right)^{\mathrm{2}}…
Question Number 129251 by bemath last updated on 14/Jan/21 Commented by bemath last updated on 14/Jan/21 $$\mathrm{thank}\:\mathrm{you}\:\mathrm{all}\:\mathrm{sirs} \\ $$ Answered by liberty last updated on…
Question Number 63711 by mathmax by abdo last updated on 07/Jul/19 $${calculate}\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{dx}}{\:\sqrt{\mathrm{3}}{cosx}\:+\sqrt{\mathrm{2}}{sinx}} \\ $$ Commented by mathmax by abdo last updated on 08/Jul/19…
Question Number 129240 by abdurehime last updated on 14/Jan/21 $$\int\mathrm{e}^{\mathrm{x}^{\mathrm{x}} } \mathrm{dx}\:\:\:\:\:\mathrm{please}\:\mathrm{help}\:\mathrm{me} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com