Question Number 137558 by liberty last updated on 04/Apr/21 $$\left({x}+{y}\right){dx}\:+\:\left({x}+{y}^{\mathrm{2}} \right){dy}\:=\:\mathrm{0}\: \\ $$ Answered by Ñï= last updated on 04/Apr/21 $$\left({x}+{y}\right){dx}+\left({x}+{y}^{\mathrm{2}} \right){dy} \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}{d}\left({x}^{\mathrm{2}} \right)+{ydx}+{xdy}+\frac{\mathrm{1}}{\mathrm{3}}{d}\left({y}^{\mathrm{3}}…
Question Number 72021 by mathmax by abdo last updated on 23/Oct/19 $${calculate}\:{interms}\:{of}\:{n}\:\:{U}_{{n}} =\sum_{\mathrm{1}\leqslant{i}<{j}\leqslant{n}} \:{sin}\left(\frac{{i}\pi}{{n}}\right){sin}\left(\frac{{j}\pi}{{n}}\right) \\ $$ Commented by mathmax by abdo last updated on 26/Oct/19…
Question Number 72018 by mathmax by abdo last updated on 23/Oct/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last…
Question Number 6483 by sanusihammed last updated on 28/Jun/16 $$\mathrm{5}^{\sqrt{{x}\:}} \:\:−\:\:\:\mathrm{5}^{\left({x}\:−\:\mathrm{7}\right)} \:\:=\:\:\mathrm{100} \\ $$$$ \\ $$$${Find}\:{the}\:{value}\:{of}\:{x} \\ $$ Answered by Yozzii last updated on 29/Jun/16…
Question Number 6482 by prakash jain last updated on 28/Jun/16 $$\mathrm{Is}\:\mathrm{there}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:\mathrm{such}\:\mathrm{that}\:{f}\left({x}\right)\neq\mathrm{0} \\ $$$${f}\left({x}^{\mathrm{3}} \right)=\mathrm{3}{f}\left({x}^{\mathrm{2}} \right) \\ $$$$ \\ $$ Commented by Yozzii last updated on…
Question Number 72016 by mathmax by abdo last updated on 23/Oct/19 $${find}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{cos}\left({nx}\right)}{\left(\mathrm{3}+{nx}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx}\:\:{with}\:{n}\:{integr} \\ $$ Commented by mathmax by abdo last…
Question Number 72017 by mathmax by abdo last updated on 23/Oct/19 $${find}\:\int\:\:\frac{{x}+\sqrt{\mathrm{4}+{x}^{\mathrm{2}} }}{{x}−\sqrt{\mathrm{4}+\mathrm{3}{x}^{\mathrm{2}} }}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 72015 by mathmax by abdo last updated on 23/Oct/19 $${find}\:\int\:\:\frac{{arctan}\left({x}−\frac{\mathrm{1}}{{x}}\right)}{{x}^{\mathrm{2}} \:+\mathrm{1}}{dx} \\ $$ Commented by mathmax by abdo last updated on 07/Nov/19 $${let}\:{A}\:=\int\:\:\frac{{arctan}\left({x}−\frac{\mathrm{1}}{{x}}\right)}{{x}^{\mathrm{2}}…
Question Number 72012 by mathmax by abdo last updated on 23/Oct/19 $${find}\:{f}\left(\alpha\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left(\alpha{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx}\:\:{with}\:\alpha\:{real}. \\ $$ Commented by mathmax by abdo last updated…
Question Number 6476 by sanusihammed last updated on 28/Jun/16 Answered by Rasheed Soomro last updated on 28/Jun/16 $${Given}\:{equation}:\:{x}^{\mathrm{2}} −{px}+\mathrm{8}=\mathrm{0} \\ $$$$\:\:\:\:\:{Sum}\:{of}\:{the}\:{roots}\:=−\frac{{coefficient}\:{of}\:{x}}{{coefficient}\:{of}\:{x}^{\mathrm{2}} } \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=−\frac{−{p}}{\mathrm{1}}={p} \\…