Question Number 35202 by Cheyboy last updated on 16/May/18 $$\:\int^{} \:\boldsymbol{{e}}^{\mathrm{3}\boldsymbol{{x}}} \sqrt{\mathrm{1}−\boldsymbol{{e}}^{\mathrm{2}\boldsymbol{{x}}} }\boldsymbol{{dx}} \\ $$$$\boldsymbol{{plzz}}\:\boldsymbol{{help}} \\ $$ Answered by ajfour last updated on 16/May/18 $${let}\:{e}^{{x}}…
Question Number 166263 by cortano1 last updated on 17/Feb/22 $$\:\:\:\:\:\:\int_{\:−\frac{\pi}{\mathrm{4}}} ^{\:\frac{\pi}{\mathrm{4}}} \frac{\mathrm{dx}}{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\:\sqrt{\mathrm{9}+\mathrm{7}\:\mathrm{tan}\:\mid\mathrm{x}\mid}}\:\mathrm{dx}\:=? \\ $$ Answered by mathsmine last updated on 17/Feb/22 $$=\mathrm{2}\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \frac{{dx}}{{cos}^{\mathrm{2}}…
Question Number 166260 by amin96 last updated on 16/Feb/22 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \boldsymbol{\mathrm{ln}}\left(\boldsymbol{\mathrm{sinx}}+\boldsymbol{\mathrm{cosx}}\right)\boldsymbol{\mathrm{dx}}=? \\ $$$$−−−−−−−−−−−−\boldsymbol{\mathrm{by}}\:\boldsymbol{\mathrm{M}}.\boldsymbol{\mathrm{A}} \\ $$ Answered by Eulerian last updated on 17/Feb/22 $$\: \\…
Question Number 35186 by prof Abdo imad last updated on 16/May/18 $${find}\:\:\int_{\mathrm{0}} ^{\pi} \:\:\:\:\frac{{x}\:{dx}}{\mathrm{3}\:+{cosx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 35139 by behi83417@gmail.com last updated on 15/May/18 Commented by abdo mathsup 649 cc last updated on 16/May/18 $${let}\:{put}\:{I}\:=\:\int_{\mathrm{0}} ^{\sqrt{\mathrm{2}}} \:\:\:\:\frac{{x}+\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}} \:+{x}+\mathrm{1}}}{dx} \\ $$$${I}\:=\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}}…
Question Number 166192 by greogoury55 last updated on 15/Feb/22 $$\:\:\:\:\int\:\frac{{dx}}{\mathrm{5}+\mathrm{4sin}\:{x}}\:=? \\ $$ Answered by som(math1967) last updated on 15/Feb/22 $$\:\:\int\frac{{dx}}{\mathrm{5}\left({sin}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}+{cos}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}\right)+\mathrm{8}{sin}\frac{{x}}{\mathrm{2}}{cos}\frac{{x}}{\mathrm{2}}} \\ $$$$=\int\frac{{sec}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}{dx}}{\mathrm{5}{tan}^{\mathrm{2}}…
Question Number 166191 by cortano1 last updated on 15/Feb/22 $$\:\:\:\:\:\:\:\underset{−\frac{\pi}{\mathrm{2}}} {\int}^{\:\frac{\pi}{\mathrm{2}}} \frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{x}^{\mathrm{4}} +\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\:\mathrm{dx}=? \\ $$ Answered by phanphuoc last updated on 15/Feb/22 $${f}\:{odd}\:\rightarrow{i}=\mathrm{0} \\…
Question Number 100657 by Cheyboy last updated on 28/Jun/20 $$\int\:\:\frac{\mathrm{3}{x}−\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{9}}\:{dx} \\ $$ Commented by bobhans last updated on 28/Jun/20 $$\mathrm{set}\:\mathrm{x}\:=\:\mathrm{3tan}\:\mathrm{z}\:\Rightarrow\:\mathrm{dx}\:=\:\mathrm{3sec}\:^{\mathrm{2}} \mathrm{dz} \\ $$$$\mathrm{I}=\int\:\frac{\mathrm{2x}+\mathrm{x}−\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{9}}\:\mathrm{dx}\:=\int\:\frac{\mathrm{d}\left(\mathrm{x}^{\mathrm{2}}…
Question Number 100653 by Ar Brandon last updated on 28/Jun/20 Answered by mathmax by abdo last updated on 28/Jun/20 $$\left.\mathrm{1}\left.\right)\left.\:\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{sin}\left(\mathrm{nx}\right)}{\mathrm{sinx}}\:\mathrm{is}\:\mathrm{continue}\:\:\mathrm{on}\right]\mathrm{0},\frac{\pi}{\mathrm{2}}\right]\:\Rightarrow\:\mathrm{integrable}\:\mathrm{at}\:\mathrm{V}\left(\mathrm{0}\right)\:\mathrm{we}\:\mathrm{have} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\sim\frac{\mathrm{nx}}{\mathrm{x}}\:=\mathrm{n}\:\mathrm{so}\:\:\mathrm{I}_{\mathrm{n}} \mathrm{exist} \\ $$$$\left.\mathrm{2}\right)\mathrm{I}_{\mathrm{n}}…
Question Number 35117 by math1967 last updated on 15/May/18 $$\int\frac{\mathrm{2}{x}+\mathrm{3}}{{x}^{\mathrm{4}} −\mathrm{3}{x}−\mathrm{2}}{dx} \\ $$ Answered by MJS last updated on 16/May/18 $$\int\frac{\mathrm{2}{x}+\mathrm{3}}{{x}^{\mathrm{4}} −\mathrm{3}{x}−\mathrm{2}}{dx}=\int\frac{\mathrm{2}{x}+\mathrm{3}}{\left({x}^{\mathrm{2}} −{x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} +{x}+\mathrm{2}\right)}{dx}= \\…