Question Number 117463 by mnjuly1970 last updated on 11/Oct/20 Commented by mindispower last updated on 11/Oct/20 $${nice}\:{sir} \\ $$ Commented by mnjuly1970 last updated on…
Question Number 182995 by universe last updated on 18/Dec/22 Answered by som(math1967) last updated on 18/Dec/22 Commented by som(math1967) last updated on 18/Dec/22 $$\:{Area}=\mathrm{4}×\left\{\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 117446 by Ar Brandon last updated on 11/Oct/20 $$\mathrm{Evaluate}\:\int\frac{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{5}}{{x}^{\mathrm{4}} +\mathrm{6}{x}^{\mathrm{2}} +\mathrm{25}}\mathrm{d}{x} \\ $$ Answered by Ar Brandon last updated on 11/Oct/20 $$\mathcal{I}=\int\frac{\mathrm{3}{x}^{\mathrm{2}}…
Question Number 51910 by Meritguide1234 last updated on 01/Jan/19 Commented by Abdo msup. last updated on 01/Jan/19 $${let}\:{find}\:{firstI}_{{n}} =\:\int_{\mathrm{0}} ^{\pi} \:{cos}^{{n}} {x}\:{cos}\left({nx}\right){dx}\:{with}\:{n}\:{from}\:{N} \\ $$$${I}_{{n}} ={Re}\left(\:\int_{\mathrm{0}}…
Question Number 117437 by frc2crc last updated on 11/Oct/20 $$\int_{\mathrm{0}} ^{\infty} \frac{{dx}}{{a}^{\mathrm{3}} +{x}^{\mathrm{3}} } \\ $$$$ \\ $$$${generaly} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{{dx}}{{p}+{x}^{{n}} } \\ $$…
Question Number 182962 by universe last updated on 17/Dec/22 Answered by mr W last updated on 17/Dec/22 Commented by mr W last updated on 17/Dec/22…
Question Number 117431 by A8;15: last updated on 11/Oct/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 51876 by Tinkutara last updated on 31/Dec/18 Commented by maxmathsup by imad last updated on 31/Dec/18 $${let}\:{solve}\:{y}^{'} \:+\mathrm{2}{y}\:={f}\left({x}\right)\:\:\left({e}\right) \\ $$$$\left({he}\right)\:\Rightarrow{y}^{'} \:+\mathrm{2}{y}\:=\mathrm{0}\:\Rightarrow\frac{{y}^{'} }{{y}}=−\mathrm{2}\:\:\Rightarrow{ln}\left({y}\right)=−\mathrm{2}{x}\:+{k}\:\:\Rightarrow{y}\left({x}\right)={C}\:{e}^{−\mathrm{2}{x}} \\…
Question Number 117409 by hatakekakashi1729gmailcom last updated on 11/Oct/20 Answered by Lordose last updated on 10/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 117403 by bemath last updated on 11/Oct/20 $$\:\:\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\left(\mathrm{arc}\:\mathrm{tan}\:\mathrm{x}\right)^{\mathrm{2}} \:\mathrm{dx}\:=? \\ $$ Commented by MJS_new last updated on 11/Oct/20 $$\mathrm{use}\:\mathrm{arctan}\:{x}\:=\frac{\mathrm{ln}\:\left(\mathrm{1}+\mathrm{i}{x}\right)\:−\mathrm{ln}\:\left(\mathrm{1}−\mathrm{i}{x}\right)}{\mathrm{2i}}\:\Rightarrow \\ $$$$−\frac{\mathrm{1}}{\mathrm{4}}\underset{\mathrm{0}}…