Question Number 156028 by mnjuly1970 last updated on 07/Oct/21 $$ \\ $$$$\:\Omega\::=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \sqrt{{sin}\left({x}\right)}\:\mathrm{ln}\left({sin}\left(\:{x}\:\right)\right){dx}=? \\ $$$$\:\:{m}.{n}.. \\ $$$$ \\ $$ Answered by Ar Brandon last…
Question Number 90480 by M±th+et£s last updated on 23/Apr/20 $$\int{e}^{{x}} \frac{\left(\mathrm{1}+{cos}\left({x}\right)\right)\left(\mathrm{1}−{sin}\left({x}\right)\right)}{\left({e}^{{x}} \:{cos}\left({x}\right)+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 156008 by zainaltanjung last updated on 07/Oct/21 $$\mathrm{Tekhnic}\:\:\mathrm{Integration}\:\mathrm{by}\:\mathrm{part} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{Find}\:\int\mathrm{x}.\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{Find}\:\int\mathrm{x}.\mathrm{e}^{\mathrm{2x}} \:\mathrm{dx} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{Find}\:\int\mathrm{ln}\:\:\mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{4}\right)\:\:\mathrm{Find}\:\int\mathrm{x}^{\mathrm{2}} .\mathrm{e}^{\mathrm{2x}} \:\mathrm{dx} \\ $$$$\left.\mathrm{5}\right)\:\:\mathrm{Find}\:\int\mathrm{e}^{\mathrm{x}} \:\mathrm{cos}\:\mathrm{x}\:\mathrm{dx}…
Question Number 156009 by zainaltanjung last updated on 07/Oct/21 $$\mathrm{Please}\:\mathrm{calculate} \\ $$$$\left.\mathrm{1}\right).\:\int\mathrm{sin}\:^{\mathrm{5}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{2}\right).\:\int\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{3}\right).\:\int\mathrm{tan}\:^{\mathrm{3}} \mathrm{x}.\mathrm{sec}\:^{\mathrm{5}} \mathrm{x}\:\mathrm{dx} \\ $$$$\left.\mathrm{4}\right).\:\int\mathrm{cos}\:\mathrm{5x}.\mathrm{cos}\:\mathrm{3x}\:\mathrm{dx} \\ $$$$\left.\mathrm{5}\right).\:\int\:\:\frac{\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{1}}{\mathrm{sec}\:^{\mathrm{2}}…
Question Number 90472 by Ar Brandon last updated on 23/Apr/20 $$\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{m}} {\sum}}\frac{\mathrm{2k}+\mathrm{3}}{\mathrm{2}^{\mathrm{m}−\mathrm{k}} } \\ $$ Commented by abdomathmax last updated on 23/Apr/20 $${A}_{{m}} =\frac{\mathrm{1}}{\mathrm{2}^{{m}}…
Question Number 90458 by jagoll last updated on 23/Apr/20 $$\int\:\sqrt{\mathrm{x}^{\mathrm{2}} +\frac{\mathrm{13}}{\mathrm{x}}}\:\mathrm{dx}\:? \\ $$ Commented by MJS last updated on 24/Apr/20 I don't think we can solve this... Wolfram can but it gives no steps: https://www.wolframalpha.com/calculators/integral-calculator/ Terms of Service Privacy…
Question Number 155986 by Ar Brandon last updated on 06/Oct/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 90446 by jagoll last updated on 23/Apr/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{solid} \\ $$$$\mathrm{formed}\:\mathrm{by}\:\mathrm{rotating}\:\mathrm{the}\:\mathrm{area} \\ $$$$\mathrm{trapped}\:\mathrm{by}\:\mathrm{y}\:=\:\mathrm{sin}\:\mathrm{x}\:\mathrm{and}\:\mathrm{the} \\ $$$$\mathrm{x}−\mathrm{axis}\:\mathrm{around}\:\mathrm{the}\:\mathrm{line}\:\mathrm{y}=\mathrm{3} \\ $$$$\mathrm{for}\:\mathrm{0}<\mathrm{x}<\pi\: \\ $$ Commented by john santu last…
Question Number 90443 by jagoll last updated on 23/Apr/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{solid}\:\mathrm{formed} \\ $$$$\mathrm{by}\:\mathrm{rotating}\:\mathrm{the}\:\mathrm{area}\:\mathrm{trapped} \\ $$$$\mathrm{between}\:\mathrm{the}\:\mathrm{line}\:\mathrm{y}\:=\:\mathrm{1}\:\mathrm{and} \\ $$$$\mathrm{the}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{4}−\mathrm{3x}^{\mathrm{2}} \\ $$$$\mathrm{aroud}\:\mathrm{the}\:\mathrm{line}\:\mathrm{y}\:=\:\mathrm{1} \\ $$ Commented by john santu last…
Question Number 90424 by john santu last updated on 23/Apr/20 $$\underset{\mathrm{0}} {\overset{\mathrm{2}} {\int}}\:\underset{\frac{\mathrm{1}}{\mathrm{2}}{y}} {\overset{\mathrm{1}} {\int}}\:{e}^{−{x}^{\mathrm{2}} } \:{dxdy}\:=\:?\: \\ $$ Commented by john santu last updated…