Question Number 34281 by math khazana by abdo last updated on 03/May/18 $${calculate}\:\:\:\int_{\mathrm{1}} ^{\sqrt{\mathrm{3}}} \:\:\:\:\:\:\frac{{x}−\mathrm{1}}{{x}^{\mathrm{2}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)}{dx}\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 34280 by math khazana by abdo last updated on 03/May/18 $${find}\:\:\:\:\int\:\:\:\frac{{ln}\left({x}+{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34278 by math khazana by abdo last updated on 03/May/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\left(\mathrm{2}\:\:+\left({t}+\mathrm{3}\right){ln}\left(\frac{{t}+\mathrm{2}}{{t}+\mathrm{4}}\right)\right){dt}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34279 by math khazana by abdo last updated on 03/May/18 $${find}\:\:\int_{\mathrm{1}} ^{+\infty} \:\:\frac{\left(−\mathrm{1}\right)^{\left[{x}\right]} }{{x}}\:{dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34276 by math khazana by abdo last updated on 03/May/18 $${nature}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{3}} {sin}^{\mathrm{2}} {x}}\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 34277 by math khazana by abdo last updated on 03/May/18 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)….\left({x}+{n}\right)} \\ $$$${n}\:{integr}\geqslant\mathrm{2}\:. \\ $$ Commented by candre last updated…
Question Number 34273 by math khazana by abdo last updated on 03/May/18 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{e}^{{arctanx}} }{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 34274 by math khazana by abdo last updated on 03/May/18 $${calculate}\:\:\int_{\mathrm{2}} ^{+\infty} \:\:\frac{\mathrm{4}{x}}{{x}^{\mathrm{4}} −\mathrm{1}}{dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34271 by math khazana by abdo last updated on 03/May/18 $${find}\:{lim}_{{n}\rightarrow+\infty} \:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({nx}\right)}{{n}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 34270 by math khazana by abdo last updated on 03/May/18 $${let}\:{give}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{3}} \right)^{{n}} } \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{\mathrm{1}} \\ $$$$\left.\mathrm{2}\right)\:{for}\:{n}\geqslant\mathrm{2}\:{find}\:{a}\:{relation}\:{between}\:{A}_{{n}+\mathrm{1}} \:{and}\:{A}_{{n}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:{A}_{{n}}…