Question Number 40619 by math khazana by abdo last updated on 25/Jul/18 $${let}\:\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{d}\theta}{{x}\:\:+{cos}^{\mathrm{2}} \theta}\:\:{with}\:{x}>\mathrm{0}\:. \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}\left({x}\right)\:{and}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}.…
Question Number 40620 by math khazana by abdo last updated on 25/Jul/18 $${find}\:\:\int\:\:\:\left(\left({x}+\mathrm{1}\right)\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\:+\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\sqrt{{x}+\mathrm{1}}\right){dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 25/Jul/18 $$\int{x}\sqrt{\mathrm{1}+{x}^{\mathrm{2}}…
Question Number 106148 by mohammad17 last updated on 03/Aug/20 $$\left(\mathrm{1}\right)\int\:{sec}^{−\mathrm{1}} {x}^{\mathrm{2}} {dx} \\ $$$$ \\ $$$$\left(\mathrm{2}\right)\:\int\sqrt{{x}+\mathrm{2}}\:\:{sin}^{−\mathrm{1}} \sqrt{\mathrm{3}{x}−\mathrm{1}}\:{dx} \\ $$ Answered by bemath last updated on…
Question Number 106132 by mathmax by abdo last updated on 02/Aug/20 $$\mathrm{find}\:\int_{−\infty} ^{+\infty} \:\mathrm{x}^{\mathrm{2}} \mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \:\mathrm{ln}\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx} \\ $$$$ \\ $$ Terms of Service…
Question Number 106125 by Ar Brandon last updated on 02/Aug/20 $$\int_{\frac{\pi}{\mathrm{4}}} ^{\pi} \sqrt{\mathrm{1}−\mathrm{sin2}{x}}\:\mathrm{d}{x} \\ $$ Answered by Dwaipayan Shikari last updated on 02/Aug/20 $$\int_{\frac{\pi}{\mathrm{4}}} ^{\pi}…
Question Number 106120 by Her_Majesty last updated on 02/Aug/20 $${question}\:\mathrm{106075}\:{again} \\ $$$$\int\frac{\mathrm{1}+{cosx}}{\left(\mathrm{99}{cosx}−\mathrm{70}{sinx}+\mathrm{210}\right){cosx}−\mathrm{66}{sinx}+\mathrm{110}}{dx}=? \\ $$$${using}\:{t}={tan}\left({x}/\mathrm{2}\right)\:{I}\:{get} \\ $$$$−\mathrm{4}\int\frac{{dt}}{{t}^{\mathrm{4}} +\mathrm{8}{t}^{\mathrm{3}} −\mathrm{22}{t}^{\mathrm{2}} +\mathrm{272}{t}−\mathrm{419}} \\ $$$${can}\:{someone}\:{factorize}\:{the}\:{denominator}? \\ $$ Commented by…
Question Number 40580 by maxmathsup by imad last updated on 24/Jul/18 $${find}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{ln}\left(\mathrm{1}+{ix}\right)}{{x}^{\mathrm{3}} \:+\mathrm{8}}{dx} \\ $$$$ \\ $$ Commented by math khazana by abdo…
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Question Number 106075 by Her_Majesty last updated on 02/Aug/20 $$\int\frac{\mathrm{1}+{cosx}}{\left(\mathrm{99}{cosx}−\mathrm{70}{sinx}+\mathrm{210}\right){cosx}−\mathrm{66}{sinx}+\mathrm{110}}{dx}=? \\ $$ Answered by Dwaipayan Shikari last updated on 02/Aug/20 $${From}\:{wolfram}\:{Alpha} \\ $$ Commented by…
Question Number 171601 by mnjuly1970 last updated on 18/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com