Question Number 22623 by tawa tawa last updated on 21/Oct/17 $$\mathrm{How}\:\mathrm{is}:\:\:\:\int\:\frac{\mathrm{x}\:+\:\mathrm{sin}\left(\mathrm{x}\right)}{\mathrm{1}\:+\:\mathrm{cos}\left(\mathrm{x}\right)}\:\mathrm{dx}\:=\:\mathrm{xtan}\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\:+\:\mathrm{C} \\ $$ Answered by vajpaithegrate@gmail.com last updated on 21/Oct/17 $$\int\frac{\mathrm{x}+\mathrm{2sin}\:\frac{\mathrm{x}}{\mathrm{2}}\mathrm{cos}\:\frac{\mathrm{x}}{\mathrm{2}}}{\mathrm{2cos}\:^{\mathrm{2}} \frac{\mathrm{x}}{\mathrm{2}}}\mathrm{dx}\:\: \\ $$$$\int\frac{\mathrm{x}}{\mathrm{2cos}^{\mathrm{2}} \frac{\mathrm{x}}{\mathrm{2}}}+\frac{\mathrm{2sin}\:\frac{\mathrm{x}}{\mathrm{2}}\mathrm{cos}\:\frac{\mathrm{x}}{\mathrm{2}}}{\mathrm{2cos}\:^{\mathrm{2}}…
Question Number 88153 by Chi Mes Try last updated on 08/Apr/20 Commented by Prithwish Sen 1 last updated on 08/Apr/20 $$\mathrm{sin}^{−\mathrm{1}} \mathrm{e}^{\mathrm{x}} \:+\:\mathrm{sec}^{−\mathrm{1}} \left(\mathrm{e}^{−\mathrm{x}} \right)\:=\:\mathrm{sin}^{−\mathrm{1}}…
Question Number 88131 by M±th+et£s last updated on 08/Apr/20 $$\int\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}−\sqrt{\mathrm{1}−\mathrm{2}{x}}}{dx} \\ $$ Answered by MJS last updated on 08/Apr/20 $$\int\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}−\sqrt{\mathrm{1}−\mathrm{2}{x}}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\sqrt{\mathrm{1}−\mathrm{2}{x}}\:\rightarrow\:{dx}−\sqrt{\mathrm{1}−\mathrm{2}{x}}{dt}\right] \\…
Question Number 88118 by sahnaz last updated on 08/Apr/20 $$\int\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1}\right)×\sqrt{\mathrm{x}}} \\ $$ Commented by mathmax by abdo last updated on 08/Apr/20 $${I}\:=\int\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{{x}}}\:\Rightarrow{I}\:=_{{x}={t}^{\mathrm{2}} } \:\:\int\:\:\:\frac{\mathrm{2}{tdt}}{\left({t}^{\mathrm{2}} +\mathrm{1}\right){t}}\:=\mathrm{2}\:\int\:\:\frac{{dt}}{{t}^{\mathrm{2}}…
Question Number 88104 by ar247 last updated on 08/Apr/20 $$\int_{\mathrm{0}} ^{+\infty} \sqrt{\mathrm{3}+{e}^{−\mathrm{2}{x}} }{dx} \\ $$ Commented by ar247 last updated on 08/Apr/20 $${with}\:{stap}\:{please} \\ $$…
Question Number 88097 by sahnaz last updated on 08/Apr/20 $$\int\frac{\mathrm{dx}}{\left(\mathrm{2x}−\mathrm{3}\right)^{\frac{\mathrm{2}}{\mathrm{3}}} } \\ $$ Answered by john santu last updated on 08/Apr/20 $$\int\:{t}^{−\mathrm{2}/\mathrm{3}} ×\frac{\mathrm{1}}{\mathrm{2}}{dt}\:\:\:\left[\:{t}\:=\:\mathrm{2}{x}−\mathrm{3}\:\right] \\ $$$$=\:\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{3}\:×\:\sqrt[{\mathrm{3}\:\:}]{{t}}\:+\:{c}\:…
Question Number 22562 by anoop7760@gmail.com last updated on 20/Oct/17 $${solve}\overset{\mathrm{1}} {\int}_{\mathrm{0}} {ln}\left({x}\right){dx}/{x}^{\mathrm{2}} −{x}−\mathrm{1}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 88089 by ar247 last updated on 08/Apr/20 $$\int\frac{{e}^{{x}} }{{e}^{\mathrm{2}} −\mathrm{9}}{dx} \\ $$ Commented by ar247 last updated on 08/Apr/20 $${help} \\ $$ Answered…
Question Number 88071 by ar247 last updated on 08/Apr/20 Commented by ar247 last updated on 08/Apr/20 $${help}\:{please} \\ $$ Commented by jagoll last updated on…
Question Number 88069 by Power last updated on 08/Apr/20 Commented by Power last updated on 08/Apr/20 $$\lfloor\mathrm{x}\rfloor−\mathrm{greatest}\:\mathrm{integer}\: \\ $$$$\mathrm{x}=\lfloor\mathrm{x}\rfloor+\left\{\mathrm{x}\right\}\:\:\:\:\:\:\:\mathrm{0}\leqslant\left\{\mathrm{x}\right\}<\mathrm{1} \\ $$ Commented by mathmax by…