Question Number 81100 by jagoll last updated on 09/Feb/20 $$\int\:\frac{{x}\:{dx}}{\left(\mathrm{tan}\:{x}+\mathrm{cot}\:{x}\right)^{\mathrm{2}} }\:=\:? \\ $$ Commented by mind is power last updated on 09/Feb/20 $${tan}\left({x}\right)+{cot}\left({x}\right)=\frac{\mathrm{1}}{{sin}\left({x}\right){cos}\left({x}\right)} \\ $$$$\Leftrightarrow\int{xsin}^{\mathrm{2}}…
Question Number 146619 by mnjuly1970 last updated on 14/Jul/21 $$ \\ $$$$\:\:\:\:{solve}\:::\:\:\:\left(\:{x}\:\in\:\mathbb{R}\:\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left[\:{x}\:\right]\:=\:\left[\:{x}^{\:\mathrm{2}} −\:{x}\:−\mathrm{6}\:\right] \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:{note}::\:\:\:\left[{x}\:\right]\::=\:{max}\:\left\{\:{q}\:\in\:\mathbb{Z}\:\mid\:{q}\:\leqslant\:{x}\:\right\} \\ $$ Answered by mindispower last…
Question Number 146597 by iloveisrael last updated on 14/Jul/21 $$\:\:\:\:\int\:\frac{\mathrm{cos}\:\mathrm{5x}+\mathrm{cos}\:\mathrm{4x}}{\mathrm{1}−\mathrm{2cos}\:\mathrm{3x}}\:\mathrm{dx}\:=?\: \\ $$$$\:\:\int\:\frac{\sqrt{\mathrm{tan}\:\mathrm{x}}}{\mathrm{sin}\:\mathrm{2x}}\:\mathrm{dx}\:=? \\ $$$$\:\:\int\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{cos}\:^{\mathrm{3}} \mathrm{x}\:\mathrm{sin}\:^{\mathrm{5}} \mathrm{x}}}\:=? \\ $$ Answered by gsk2684 last updated on 14/Jul/21…
Question Number 146584 by mnjuly1970 last updated on 14/Jul/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:……{nice}\:…\:…\:…\:{calculus}…… \\ $$$$\: \\ $$$$\Omega=\:\int_{\mathrm{0}} ^{\:\mathrm{4}} {x}^{\:\mathrm{2}} \:{d}\:\left(\lfloor{x}+\lfloor{x}\:+\lfloor{x}+\lfloor{x}\rfloor\rfloor\rfloor\right)=?\: \\ $$$$ \\ $$ Terms of…
Question Number 146582 by iloveisrael last updated on 14/Jul/21 $$\:\:\:\int\:\mathrm{tan}\:^{\mathrm{4}} \mathrm{x}\:\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx}\:=? \\ $$ Answered by bobhans last updated on 14/Jul/21 $$\mathrm{I}=\int\:\left(\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}−\mathrm{1}\right)^{\mathrm{2}} \mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx}…
Question Number 81043 by john santu last updated on 09/Feb/20 $$\int\:\frac{\mathrm{2}{e}^{\mathrm{2}{x}} −{e}^{{x}} }{\:\sqrt{\mathrm{3}{e}^{\mathrm{2}{x}} −\mathrm{6}{e}^{{x}} −\mathrm{1}}}\:{dx} \\ $$ Commented by john santu last updated on 09/Feb/20…
Question Number 146577 by bekzodjumayev last updated on 14/Jul/21 Commented by bekzodjumayev last updated on 14/Jul/21 $${Help} \\ $$$$ \\ $$ Answered by Ar Brandon…
Question Number 80977 by ajfour last updated on 08/Feb/20 Commented by ajfour last updated on 08/Feb/20 $${Regions}\:{A}\:{and}\:{B}\:{have}\:{equal} \\ $$$${area},\:{find}\:{radius}\:{of}\:{circle}, \\ $$$${centered}\:{at}\:{origin}. \\ $$ Commented by…
Question Number 80951 by TawaTawa last updated on 08/Feb/20 Commented by TawaTawa last updated on 08/Feb/20 $$\mathrm{Please}\:\mathrm{help}. \\ $$ Commented by john santu last updated…
Question Number 80924 by M±th+et£s last updated on 08/Feb/20 $${show}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{{x}^{\frac{\pi}{\mathrm{5}}−\mathrm{1}} }{\mathrm{1}+{x}^{\mathrm{2}\pi} }\:{dx}\:=\phi\: \\ $$ Commented by abdomathmax last updated on 09/Feb/20…