Question Number 142475 by cherokeesay last updated on 01/Jun/21 Answered by qaz last updated on 01/Jun/21 $$\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)+\mathrm{x}^{\mathrm{2}} \mathrm{f}\left(\mathrm{x}\right)=\mathrm{0} \\ $$$$\Rightarrow\mathrm{f}\left(\mathrm{x}\right)+\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)=\mathrm{0} \\ $$$$\mathrm{I}=\int_{\frac{\mathrm{1}}{\mathrm{x}}} ^{\mathrm{x}} \mathrm{f}\left(\mathrm{t}\right)\mathrm{dt}=\int_{\mathrm{x}}…
Question Number 142461 by bramlexs22 last updated on 01/Jun/21 Commented by qaz last updated on 01/Jun/21 $$\mathrm{S}_{\mathrm{1}} =\int_{\mathrm{0}} ^{\mathrm{a}_{\mathrm{1}} } \left(\mathrm{c}−\mathrm{8x}+\mathrm{27x}^{\mathrm{3}} \right)\mathrm{dx}=\mathrm{a}_{\mathrm{1}} \mathrm{c}−\mathrm{4a}_{\mathrm{1}} ^{\mathrm{2}} +\frac{\mathrm{27}}{\mathrm{4}}\mathrm{a}_{\mathrm{1}}…
Question Number 142457 by ajfour last updated on 01/Jun/21 $$\:{I}=\int\frac{{dx}}{\:\sqrt{{a}^{\mathrm{2}} −\left({x}+\frac{\mathrm{1}}{{x}}\right)}} \\ $$ Answered by MJS_new last updated on 01/Jun/21 $$\mathrm{I}'\mathrm{m}\:\mathrm{afraid}\:\mathrm{you}'\mathrm{re}\:\mathrm{ending}\:\mathrm{on}\:\mathrm{elliptic}\:\mathrm{functions} \\ $$$$\mathrm{again}. \\ $$$$\mathrm{my}\:\mathrm{try}:…
Question Number 76920 by jagoll last updated on 01/Jan/20 $${how}\:{can}\:{i}\:{solve}\: \\ $$$$\int\:\frac{\mathrm{sin}\:{x}\:{dx}}{{x}^{\mathrm{2}} \:{e}^{{x}} }\:?\:{can}\:{using}\:{elementary} \\ $$$${calculus}? \\ $$ Commented by MJS last updated on 01/Jan/20…
Question Number 76913 by Ajao yinka last updated on 31/Dec/19 Answered by ~blr237~ last updated on 01/Jan/20 $$\mathrm{let}\:\mathrm{it}\:\mathrm{be}\:\mathrm{A} \\ $$$$\mathrm{1}+\mathrm{x}+….+\mathrm{x}^{\mathrm{100}} =\frac{\mathrm{1}−\mathrm{x}^{\mathrm{101}} }{\mathrm{1}−\mathrm{x}} \\ $$$$\mathrm{A}=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 76910 by aliesam last updated on 31/Dec/19 Commented by MJS last updated on 31/Dec/19 $${x}^{\mathrm{6}} +\mathrm{1}=\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +\sqrt{\mathrm{3}}{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\sqrt{\mathrm{3}}{x}+\mathrm{1}\right) \\ $$ Answered by…
Question Number 142438 by rs4089 last updated on 31/May/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}−{x}}{{lnx}}{dx} \\ $$$${how}\:\:{many}\:{tricks}\:{solve}\:{this} \\ $$ Answered by Dwaipayan Shikari last updated on 31/May/21 $${log}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)…
Question Number 76892 by john santu last updated on 31/Dec/19 $$\mathcal{C}{alculate}\:\int\:\frac{\sqrt{\mathrm{9}−{x}^{\mathrm{2}} }}{{x}^{\mathrm{6}} }\:{dx}\:. \\ $$ Answered by jagoll last updated on 31/Dec/19 Answered by MJS…
Question Number 11352 by tawa last updated on 21/Mar/17 $$\mathrm{if},\:\:\mathrm{A}\:=\:\mathrm{x}^{\mathrm{2}} \:\mathrm{sin}\:\mathrm{yi}\:+\:\mathrm{z}^{\mathrm{2}} \:\mathrm{cos}\:\mathrm{yj}\:−\:\mathrm{xy}^{\mathrm{2}} \mathrm{k},\:\:\mathrm{find},\:\:\mathrm{dA}\:\: \\ $$ Answered by sm3l2996 last updated on 22/Mar/17 $$\mathrm{dA}=\left(\mathrm{2xsin}\left(\mathrm{y}\right)\mathrm{i}−\mathrm{y}^{\mathrm{2}} \mathrm{k}\right)\mathrm{dx}+\left(\mathrm{x}^{\mathrm{2}} \mathrm{cos}\left(\mathrm{y}\right)\mathrm{i}−\mathrm{z}^{\mathrm{2}}…
Question Number 11315 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 20/Mar/17 Commented by chux last updated on 20/Mar/17 $$\mathrm{please}\:\mathrm{can}\:\mathrm{you}\:\mathrm{tell}\:\mathrm{me}\:\mathrm{the}\:\mathrm{name}\:\mathrm{of} \\ $$$$\mathrm{any}\:\mathrm{app}\:\mathrm{for}\:\mathrm{plotting}\:\mathrm{and}\:\mathrm{editing} \\ $$$$\mathrm{graph}. \\ $$ Commented by…