Question Number 83781 by john santu last updated on 06/Mar/20 $$\int\:_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{\mathrm{1}}{\mathrm{4sin}\:^{\mathrm{2}} {x}+\mathrm{5cos}\:^{\mathrm{2}} {x}}\:{dx}\: \\ $$ Commented by niroj last updated on 06/Mar/20 $$\:\:\int_{\mathrm{0}}…
Question Number 18232 by Joel577 last updated on 17/Jul/17 $$\mathrm{If}\:{f}\left({x}\right)\:=\:\sqrt{{x}^{\mathrm{2}} \sqrt{\mathrm{3}\sqrt{{x}^{\mathrm{2}} \sqrt{\mathrm{3}\sqrt{}…}}}} \\ $$$$\mathrm{find}\:\int\:{f}\left({x}\right)\:{dx} \\ $$ Answered by alex041103 last updated on 17/Jul/17 $${f}\left({x}\right)=\sqrt{{x}^{\mathrm{2}} \sqrt{\mathrm{3}{f}\left({x}\right)}}…
Question Number 18233 by Joel577 last updated on 17/Jul/17 $$\mathrm{If}\:{y}\:=\:\sqrt{{x}^{\mathrm{2}} \:+\:\sqrt{{x}^{\mathrm{2}} \:+\:\sqrt{{x}^{\mathrm{2}} \:+\:\sqrt{…}}}} \\ $$$$\mathrm{find}\:\int\left({y}\:+\:\sqrt{{y}}\right)\:{dx} \\ $$ Commented by alex041103 last updated on 17/Jul/17 $${did}\:{you}\:{mean}\:{y}=\sqrt{{x}^{\mathrm{2}}…
Question Number 18223 by Arnab Maiti last updated on 17/Jul/17 $$\mathrm{prove}\:\mathrm{that}\:\int_{\mathrm{0}} ^{\:\pi} \frac{\mathrm{x}\:\mathrm{tanx}}{\mathrm{tanx}+\mathrm{secx}}\mathrm{dx}=\frac{\pi}{\mathrm{2}}\left(\pi−\mathrm{2}\right) \\ $$ Answered by alex041103 last updated on 17/Jul/17 $${First}\:{we}\:{will}\:{integrate}\:{by}\:{parts} \\ $$$${u}={x}\:\:\:\:{dv}=\frac{{tan}\:{x}}{{tan}\:{x}\:+\:{sec}\:{x}}…
Question Number 18224 by Arnab Maiti last updated on 17/Jul/17 $$\int\mathrm{cos2x}\:\mathrm{ln}\left(\mathrm{1}+\mathrm{tanx}\right)\mathrm{dx} \\ $$ Answered by alex041103 last updated on 17/Jul/17 $${We}\:{integrate}\:{by}\:{parts} \\ $$$${u}={ln}\left(\mathrm{1}+{tan}\:{x}\right)\:\:\:{dv}={cos}\mathrm{2}{x} \\ $$$${du}=\frac{{sec}^{\mathrm{2}}…
Question Number 18222 by Arnab Maiti last updated on 17/Jul/17 $$\mathrm{show}\:\mathrm{that}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \frac{\mathrm{x}\:\mathrm{sinx}}{\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \mathrm{x}}\mathrm{dx}=\frac{\pi}{\mathrm{4}} \\ $$ Commented by Arnab Maiti last updated on 17/Jul/17 $$\mathrm{please}\:\mathrm{help}\:\mathrm{with}\:\mathrm{these}\:\mathrm{questions}.…
Question Number 83750 by M±th+et£s last updated on 05/Mar/20 $${I}=\int{e}^{{x}} \:{tan}\left({x}\right)\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 149273 by john_santu last updated on 04/Aug/21 $$\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\frac{\mathrm{e}^{\mathrm{tan}\:\mathrm{x}} \:\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}}{\mathrm{cos}\:^{\mathrm{4}} \mathrm{x}}\:\mathrm{dx}\:=? \\ $$ Answered by Ar Brandon last updated on 04/Aug/21…
Question Number 83737 by jagoll last updated on 05/Mar/20 $$\int\:\:\frac{{x}^{\mathrm{3}} }{{x}^{\mathrm{4}} +\mathrm{cos}\:{x}}\:{dx}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 83713 by mhmd last updated on 05/Mar/20 $$\int\frac{{dx}}{\:\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}}\:\:\:{pleas}\:{sir}\:{help}\:{me} \\ $$ Commented by niroj last updated on 05/Mar/20 $$ \\ $$$$\:\:\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\sqrt{\mathrm{x}}}}}\mathrm{dx} \\ $$$$\:=\:\int\:\frac{\:\:\mathrm{1}}{\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{4x}+\mathrm{1}}}{\mathrm{2}}}\mathrm{dx}=\:\int\:\frac{\mathrm{2}}{\mathrm{1}+\sqrt{\mathrm{4x}+\mathrm{1}}}\mathrm{dx} \\…