Question Number 107197 by john santu last updated on 09/Aug/20 $$\:\:\:\:\:\trianglerighteq\mathrm{JS}\trianglelefteq \\ $$$$\int\overset{\:\pi/\mathrm{6}} {\:}_{\mathrm{0}} \mathrm{sin}\:^{\mathrm{2}} \left(\mathrm{6x}\right)\:\mathrm{cos}\:^{\mathrm{4}} \left(\mathrm{3x}\right)\:\mathrm{dx}\:? \\ $$$$\left[\:\mathrm{by}\:\mathrm{using}\:\mathrm{the}\:\mathcal{G}\mathrm{amma}\:\mathrm{function}\:\right] \\ $$ Terms of Service Privacy…
Question Number 41651 by rahul 19 last updated on 10/Aug/18 $$\int\left(\:\mathrm{1}+\mathrm{2}{x}+\mathrm{3}{x}^{\mathrm{2}} +\mathrm{4}{x}^{\mathrm{3}} +………\right)\:{dx}\:,\:\:\: \\ $$$$\left(\mathrm{0}<\mid{x}\mid<\mathrm{1}\right) \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 107193 by bobhans last updated on 09/Aug/20 $$\underset{\mathrm{0}} {\overset{\mathrm{4}} {\int}}\:\frac{\mathrm{ln}\:\mathrm{x}}{\:\sqrt{\mathrm{4x}−\mathrm{x}^{\mathrm{2}} }}\:\mathrm{dx}\:? \\ $$ Answered by hgrocks last updated on 09/Aug/20 Commented by bobhans…
Question Number 107184 by bemath last updated on 09/Aug/20 $$\:\:\:\:\:\:\:@{bemath}@ \\ $$$$\underset{\mathrm{0}} {\overset{\mathrm{2}} {\int}}\:{x}\:\sqrt[{\mathrm{3}}]{\mathrm{8}−{x}^{\mathrm{3}} }\:{dx}\:=?\: \\ $$ Answered by john santu last updated on 09/Aug/20…
Question Number 172712 by ilhamQ last updated on 30/Jun/22 $$\mathrm{1}.\:\int\frac{{x}}{{x}^{\mathrm{2}} −{x}−\mathrm{6}}\:{dx}=… \\ $$ Answered by Ar Brandon last updated on 30/Jun/22 $$=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{\mathrm{2}{x}−\mathrm{1}}{{x}^{\mathrm{2}} −{x}−\mathrm{6}}{dx}+\frac{\mathrm{1}}{\mathrm{2}}\int\frac{\mathrm{1}}{{x}^{\mathrm{2}} −{x}−\mathrm{6}}{dx} \\…
Question Number 41634 by Tawa1 last updated on 10/Aug/18 Commented by maxmathsup by imad last updated on 10/Aug/18 $${I}\:\:=\:\int\:\:\:\:\frac{{dx}}{{sinx}\:+\frac{\mathrm{1}}{{cosx}}}\:=\:\:\int\:\:\:\:\:\:\frac{{cosx}}{{sinx}\:.{cosx}\:+\mathrm{1}}{dx}\:\:{changement}\:{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:{give} \\ $$$${I}\:=\:\int\:\:\:\:\:\:\frac{\frac{\mathrm{1}−{t}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{2}} }}{\frac{\mathrm{2}{t}\left(\mathrm{1}−{t}^{\mathrm{2}} \right)}{\left(\mathrm{1}+{t}^{\mathrm{2}} \right)^{\mathrm{2}}…
Question Number 41627 by alex041103 last updated on 10/Aug/18 Commented by alex041103 last updated on 10/Aug/18 $${Just}\:{for}\:{fun}!\:{I}\:{have}\:{already}\:{posted} \\ $$$${this}\:{Q}.\:{around}\:{a}\:{year}\:{ago}.\:{The}\:{result} \\ $$$${is}\:{beautiful}\:{and}\:{worths}\:{giving}\:{it}\:{a}\:{try}. \\ $$$${Can}\:{you}\:{prove}\:{something}\:{interesting}. \\ $$$${Hint}:\:{Calculate}\:{the}\:{result}.…
Question Number 107162 by bobhans last updated on 09/Aug/20 Commented by Dwaipayan Shikari last updated on 09/Aug/20 $$\int_{−\mathrm{5}} ^{\mathrm{5}} \sqrt[{\mathrm{6}}]{\mathrm{5x}^{\mathrm{2}} +\mathrm{6}}\:\left(\mathrm{5x}−\mathrm{2}\right)\mathrm{dx}=\int_{−\mathrm{5}} ^{\mathrm{5}} \sqrt[{\mathrm{6}}]{\mathrm{5x}^{\mathrm{2}} +\mathrm{6}}\:\left(−\mathrm{5x}−\mathrm{2}\right)=\mathrm{I} \\…
Question Number 107141 by cesarL last updated on 09/Aug/20 $$\int\left({x}^{\mathrm{3}} +{x}^{\mathrm{6}} \right)\left(\sqrt[{\mathrm{3}}]{{x}^{\mathrm{3}} +\mathrm{2}}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 41586 by MJS last updated on 09/Aug/18 $${f}\left({x}\right)=\sqrt{−\mathrm{3}+\sqrt{\frac{{x}+\mathrm{1}}{{x}−\mathrm{1}}}} \\ $$$$\int{f}\left({x}\right)=? \\ $$$$\int{f}^{−\mathrm{1}} \left({x}\right)=? \\ $$ Commented by prof Abdo imad last updated on…