Question Number 41084 by Tawa1 last updated on 01/Aug/18 $$\int\:\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{x}^{\mathrm{6}} \:+\:\mathrm{1}}\:\mathrm{dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 01/Aug/18 $$\int\frac{{x}^{\mathrm{3}} }{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{4}} −{x}^{\mathrm{2}}…
Question Number 41078 by Necxx last updated on 01/Aug/18 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{sin}\:{x}\:+\:\mathrm{2cos}\:{x}}{\mathrm{3sin}\:{x}\:+\:\mathrm{4cos}\:{x}}{dx} \\ $$ Commented by maxmathsup by imad last updated on 01/Aug/18 $${let}\:{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 41053 by turbo msup by abdo last updated on 01/Aug/18 $${let}\:{I}\:=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{cos}^{\mathrm{6}} {x}\:{dx}\:{and} \\ $$$${J}\:=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{sin}^{\mathrm{6}} {xdx} \\ $$$$\left.\mathrm{1}\right){cslculate}\:{I}\:+{J}\:\:{and}\:{I}−{J} \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:{of}\:{I}\:{and}\:{J}…
Question Number 41054 by turbo msup by abdo last updated on 01/Aug/18 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\frac{{x}^{\mathrm{2}} }{{sin}^{\mathrm{2}} {x}}{dx}\:. \\ $$ Commented by maxmathsup by imad last…
Question Number 41052 by turbo msup by abdo last updated on 01/Aug/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{x}}{\mathrm{1}+{cos}^{\mathrm{2}} {x}}{dxr} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 106583 by bemath last updated on 06/Aug/20 $$\:\:\:\:\:\:\:\:\:\:\:@\mathrm{bemath}@ \\ $$$$\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\frac{\mathrm{sin}\:\mathrm{x}\:\mathrm{dx}}{\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}\:=? \\ $$ Answered by bobhans last updated on 06/Aug/20 $$\mathrm{let}\:{a}\:=\:\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}}…
Question Number 41049 by prof Abdo imad last updated on 01/Aug/18 $${calculate}\:\:\:\int_{−\frac{\pi}{\mathrm{4}}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{x}^{\mathrm{2}} }{{cos}^{\mathrm{2}} {x}}{dx} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 106570 by bobhans last updated on 06/Aug/20 $$\left(\mathrm{1}\right)\underset{\mathrm{0}} {\overset{\mathrm{a}} {\int}}\:\frac{\sqrt{\mathrm{a}−\mathrm{x}}}{\:\sqrt{\mathrm{a}−\mathrm{x}}+\sqrt{\mathrm{x}}}\:\mathrm{dx}\:=? \\ $$$$\left(\mathrm{a}\right)\:\mathrm{0}\:\:\:\:\:\:\left(\mathrm{b}\right)\:\frac{\mathrm{a}}{\mathrm{2}}\:\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{a}\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{2a}\:\:\:\:\:\:\left(\mathrm{e}\right)\:\frac{\mathrm{5}}{\mathrm{2}}\mathrm{a} \\ $$$$\left(\mathrm{2}\right)\:\underset{\mathrm{0}} {\overset{\pi/\mathrm{4}} {\int}}\frac{\mathrm{1}−\mathrm{tan}\:\mathrm{x}}{\mathrm{1}+\mathrm{tan}\:\mathrm{x}}\:\mathrm{dx}\:=? \\ $$$$\left(\mathrm{a}\right)\:\mathrm{0}\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{ln}\:\mathrm{2}\:\:\:\:\:\left(\mathrm{c}\right)\:−\mathrm{ln}\:\mathrm{2}\:\:\:\:\:\left(\mathrm{d}\right)\:\pi\mathrm{ln}\:\mathrm{2}\:\:\:\left(\mathrm{e}\right)\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mathrm{2} \\ $$$$\left(\mathrm{3}\right)\:\left(\sqrt{\mathrm{3}}+\mathrm{2}\right)^{\mathrm{x}} \:>\:\mathrm{7}−\mathrm{4}\sqrt{\mathrm{3}}\:,\:\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{set} \\ $$…
Question Number 172089 by Mikenice last updated on 23/Jun/22 Commented by Mikenice last updated on 23/Jun/22 $${please}\:{help}\:{me}\:{solve}\:{the}\:{equation} \\ $$$${below}. \\ $$ Commented by mr W…
Question Number 106555 by M±th+et+s last updated on 06/Aug/20 $$\int_{\mathrm{0}} ^{\mathrm{4}} \int_{\sqrt{{y}}} ^{\mathrm{2}} \frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{3}} }{dx}\:{dy} \\ $$ Commented by bobhans last updated on 06/Aug/20 $$=\mathrm{syntax}\:\mathrm{error}=…