Question Number 33888 by math khazana by abdo last updated on 26/Apr/18 $${developp}\:{at}\:{integr}\:{serie}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{dt}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} {sin}^{\mathrm{2}} {t}}}\:. \\ $$$${with}\:\mid{x}\mid<\mathrm{1}\:. \\ $$ Terms of Service Privacy…
Question Number 33885 by math khazana by abdo last updated on 26/Apr/18 $${developp}\:{at}\:{integr}\:{serie}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{{x}} {sin}\left({t}^{\mathrm{2}} \right){dt}\:. \\ $$ Commented by prof Abdo imad last updated…
Question Number 33883 by math khazana by abdo last updated on 26/Apr/18 $${find}\:{a}\:{simple}\:{form}\:{of}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left(\mathrm{1}+{xsin}^{\mathrm{2}} {t}\right){dt} \\ $$$${with}\:\mid{x}\mid<\mathrm{1}. \\ $$ Commented by math khazana by…
Question Number 33884 by math khazana by abdo last updated on 26/Apr/18 $${let}\:{F}\left({x}\right)=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{arctan}\left({xtant}\right)}{{tant}}\:{dt}\:{find}\:{a}\:{simple} \\ $$$${form}\:{of}\:{f}\left({x}\right)\:. \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\frac{{arctan}\left(\mathrm{2}{tant}\right)}{{tant}}{dt}\:. \\ $$ Commented by…
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Question Number 99413 by maths mind last updated on 20/Jun/20 $$\int_{\mathrm{0}} ^{+\infty} \frac{{sin}\left({ax}\right)}{{e}^{\mathrm{2}\pi{x}} −\mathrm{1}}{dx} \\ $$ Answered by mathmax by abdo last updated on 20/Jun/20…
Question Number 164944 by mnjuly1970 last updated on 23/Jan/22 $$ \\ $$$$\:\:\:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \:\:{e}^{\:−\:\sqrt{{x}}\:} .{ln}\:\left(\sqrt[{\mathrm{4}}]{{x}}\:\right){dx}\:=? \\ $$$$\:\:\:\:\:\:\:\:−−−−−−−−− \\ $$ Answered by Ar Brandon last updated…
Question Number 99403 by I want to learn more last updated on 20/Jun/20 $$\int\:\mathrm{x}^{\mathrm{x}} \:\:\mathrm{dx} \\ $$ Commented by PRITHWISH SEN 2 last updated on…
Question Number 164929 by mathlove last updated on 23/Jan/22 $$\underset{−\mathrm{2}} {\overset{\mathrm{2}} {\int}}\left[{x}\right]{dx}=? \\ $$ Answered by TheSupreme last updated on 23/Jan/22 $$\int_{{a}} ^{{b}} \lfloor{x}\rfloor{dx}=\int_{{a}} ^{\lfloor{a}\rfloor}…
Question Number 33845 by prof Abdo imad last updated on 26/Apr/18 $${let}\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{arctan}\left(\mathrm{1}\:+{n}\right)}{\:\sqrt{\mathrm{1}+{x}^{{n}} }}\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{I}_{{n}} \:. \\ $$ Commented by prof Abdo imad…