Question Number 146524 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{xsinx}}{\left(\mathrm{x}^{\mathrm{4}} \:+\mathrm{1}\right)^{\mathrm{3}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146497 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{2}}{\mathrm{x}}\int_{\mathrm{0}} ^{\mathrm{x}} \:\:\frac{\mathrm{t}^{\mathrm{2}} }{\:\sqrt{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }}\mathrm{dt}\:\:\mathrm{calculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \mathrm{f}\left(\mathrm{x}\right) \\ $$ Answered by gsk2684 last updated on…
Question Number 80861 by jagoll last updated on 07/Feb/20 $${for}\:{x},{y}\:\in\mathbb{R} \\ $$$${given}\:{f}\left({x}\right)+{f}\left(\mathrm{2}{x}+{y}\right)+\mathrm{5}{xy}= \\ $$$${f}\left(\mathrm{3}{x}−{y}\right)+{x}^{\mathrm{2}} +\mathrm{1} \\ $$$${find}\:{f}\left(\mathrm{10}\right) \\ $$ Commented by jagoll last updated on…
Question Number 15302 by Tinkutara last updated on 10/Jun/17 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{number}\:\mathrm{of}\:\mathrm{commutative} \\ $$$$\mathrm{binary}\:\mathrm{operations}\:\mathrm{on}\:\mathrm{a}\:\mathrm{set}\:\mathrm{having}\:{n} \\ $$$$\mathrm{elements}\:\mathrm{is}\:{n}^{\frac{{n}\left({n}\:−\:\mathrm{1}\right)}{\mathrm{2}}} \:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146365 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{4}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146363 by mathmax by abdo last updated on 13/Jul/21 $$\mathrm{find}\:\int_{−\mathrm{i}} ^{\mathrm{1}+\mathrm{i}} \left(\mathrm{x}^{\mathrm{2}} −\mathrm{iy}\right)\mathrm{dz}\:\:\mathrm{along}\:\:\mathrm{y}=\mathrm{x}^{\mathrm{3}} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 80814 by mathmax by abdo last updated on 06/Feb/20 $${find}\:{nature}\:{of}\:{the}\:{serie}\:\sum_{{n}=\mathrm{1}} ^{\infty} \left(\mathrm{1}−{cos}\left(\frac{\pi}{{n}}\right)\right) \\ $$ Commented by mind is power last updated on 06/Feb/20…
Question Number 80813 by mathmax by abdo last updated on 06/Feb/20 $${calculate}\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\frac{\xi\left({n}\right)−\mathrm{1}}{{n}}\:\:\:{with}\:\xi\left({x}\right)=\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{{n}^{{x}} }\:\:\:\left({x}>\mathrm{1}\right) \\ $$ Answered by mind is power last…
Question Number 80815 by mathmax by abdo last updated on 06/Feb/20 $${find}\:{nsture}\:{of}\:{the}\:{serie}\:\sum_{{n}=\mathrm{0}} ^{\infty} \left(\mathrm{1}+{sin}\left({n}\right)\right)^{\frac{\mathrm{1}}{{n}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 15262 by Tinkutara last updated on 08/Jun/17 $$\mathrm{Solve}\::\:{x}^{\mathrm{2}} \:−\:\mathrm{6}{x}\:+\:\left[{x}\right]\:+\:\mathrm{7}\:=\:\mathrm{0}. \\ $$ Commented by ajfour last updated on 08/Jun/17 $$\left({x}−\mathrm{3}\right)^{\mathrm{2}} =\mathrm{2}−\left[{x}\right] \\ $$$${No}\:{solution}\:. \\…