Question Number 35054 by math khazana by abdo last updated on 14/May/18 $${find}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:\:\:\frac{{xdx}}{\mathrm{2}\:+{cosx}} \\ $$ Commented by prof Abdo imad last updated on…
Question Number 35055 by math khazana by abdo last updated on 14/May/18 $${calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} \right)^{\mathrm{3}} } \\ $$ Commented by math khazana by abdo…
Question Number 35053 by math khazana by abdo last updated on 14/May/18 $${let}\:{v}\left({x}\right)={ln}\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} \right) \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 100584 by Dwaipayan Shikari last updated on 27/Jun/20 $$\int{i}^{{i}^{{i}……\infty} } {dx} \\ $$ Answered by MJS last updated on 27/Jun/20 $$\int{zdx}={z}\int{dx}={zx}+{C} \\ $$$$\mathrm{in}\:\mathrm{this}\:\mathrm{case}:\:\int\mathrm{i}^{\mathrm{i}^{\mathrm{i}…\infty}…
Question Number 35049 by math khazana by abdo last updated on 14/May/18 $${let}\:{A}_{{n}} \:=\:\int_{\frac{\mathrm{1}}{{n}}} ^{{n}} \:\left(\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right){arctanx}\:{dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \\ $$ Commented…
Question Number 35048 by math khazana by abdo last updated on 14/May/18 $${find}\:\int\:\:\:\:\:\frac{{dx}}{{cos}\left({sinx}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 35045 by math khazana by abdo last updated on 14/May/18 $${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left({xt}\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\:\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 35046 by math khazana by abdo last updated on 14/May/18 $${find}\:{F}\left({x}\right)=\:\int_{\mathrm{0}} ^{\pi} \:{ln}\left(\:\mathrm{1}+{x}\:{sin}^{\mathrm{2}} {t}\right){dt}\:{with}\:\mid{x}\mid<\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\pi} \:\:{ln}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}{sin}^{\mathrm{2}} {t}\right){dt} \\ $$ Terms of…
Question Number 35044 by math khazana by abdo last updated on 14/May/18 $$\left.\mathrm{1}\right){find}\:\int\:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }\:{dt} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{1}} ^{\sqrt{\mathrm{3}}} \:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }\:\:{dt} \\ $$ Commented by math khazana…
Question Number 35043 by math khazana by abdo last updated on 14/May/18 $${let}\:{t}>\mathrm{0}\:{and}\:{F}\left({t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{sin}\left({x}^{\mathrm{2}} \right)\:{e}^{−{tx}^{\mathrm{2}} } }{{x}^{\mathrm{2}} }{dx} \\ $$$${calculate}\:\frac{{dF}}{{dt}}\left({t}\right). \\ $$ Answered by…