Question Number 169504 by bagjagugum123 last updated on 01/May/22 Commented by bagjagugum123 last updated on 01/May/22 $${Prove}\:{that} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 38397 by Fawomath last updated on 25/Jun/18 $${evaluate}\:\:\int{secxdx} \\ $$ Commented by maxmathsup by imad last updated on 25/Jun/18 $${let}\:{I}=\:\int\:\:\:\frac{{dx}}{{cosx}}\:\:{changement}\:{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:{give} \\ $$$${I}=\:\:\int\:\:\:\:\:\frac{\mathrm{1}}{\frac{\mathrm{1}−{t}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 38405 by malwaan last updated on 25/Jun/18 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{3}\right)=\mathrm{3};\mathrm{f}\left(\mathrm{1}\right)=\mathrm{2}\: \\ $$$$\Rightarrow\int_{\mathrm{1}} ^{\mathrm{3}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{f}^{'} \left(\mathrm{x}\right)\mathrm{dx}=….. \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 25/Jun/18 $${pls}\:{clarify}\:\left[\left({x}\right)\right]\:{is}\:{it}\:{floor}/{greatest}\:{integer}…
Question Number 38384 by NECx last updated on 24/Jun/18 $$\int{x}^{−\mathrm{3}{cosx}} {dx} \\ $$$$ \\ $$$${please}\:{is}\:{this}\:{possible}? \\ $$$${If}\:{possibld}\:{then}\:{prove}\:{it}. \\ $$$$ \\ $$$${Thanks}\:{in}\:{advance}. \\ $$ Commented by…
Question Number 169421 by infinityaction last updated on 30/Apr/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 103871 by Dwaipayan Shikari last updated on 17/Jul/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{98}} −\mathrm{99}{x}+\mathrm{98}}{{logx}}{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 18/Jul/20 $${I}\left({a}\right)=\int_{\mathrm{0}}…
Question Number 103863 by mohammad17 last updated on 17/Jul/20 Answered by Dwaipayan Shikari last updated on 17/Jul/20 $$\left.\mathrm{2}\right) \\ $$$$\int\sqrt{\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}}{dx}=\int\frac{\mathrm{1}+{x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx}=\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx}−\frac{\mathrm{1}}{\mathrm{2}}.\frac{−\mathrm{2}{x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx} \\ $$$$={sin}^{−\mathrm{1}}…
Question Number 103860 by mathmax by abdo last updated on 17/Jul/20 $$\mathrm{find}\:\int\:\frac{\mathrm{dx}}{\mathrm{cos}^{\mathrm{4}} \mathrm{x}} \\ $$ Answered by Dwaipayan Shikari last updated on 17/Jul/20 $$\int\frac{{dx}}{{cos}^{\mathrm{4}} {x}}=\int{sec}^{\mathrm{4}}…
Question Number 103846 by Dwaipayan Shikari last updated on 17/Jul/20 $$\int\frac{{dx}}{{x}^{\frac{\mathrm{1}}{\mathrm{3}}} +\mathrm{2}} \\ $$ Commented by Dwaipayan Shikari last updated on 17/Jul/20 $$\int\frac{\mathrm{3}{u}^{\mathrm{2}} {du}}{{u}+\mathrm{2}}=\int\frac{\mathrm{3}{u}^{\mathrm{2}} −\mathrm{12}}{{u}+\mathrm{2}}+\frac{\mathrm{12}}{{u}+\mathrm{2}}=\int\mathrm{3}{u}−\mathrm{6}+\mathrm{12}{log}\left({x}^{\frac{\mathrm{1}}{\mathrm{3}}}…
Question Number 38310 by maxmathsup by imad last updated on 23/Jun/18 $${let}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{+\infty} \:\:\:\frac{{arctan}\left({xt}\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\:\:{with}\:{x}\geqslant\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{'} \left({x}\right)\:{then}\:{a}\:{simple}\:{form}\:{of}\:\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{+\infty} \:\:\:\frac{{arctant}}{\mathrm{1}+{t}^{\mathrm{2}} }{dt} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\int_{\mathrm{0}}…