Question Number 59991 by selimatas01 last updated on 16/May/19 Commented by Mr X pcx last updated on 16/May/19 $${let}\:\:{I}\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{cosx}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} }\:{dx}\:\Rightarrow \\ $$$$\mathrm{2}{I}\:=\int_{−\infty}…
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Question Number 191049 by Mingma last updated on 16/Apr/23 Commented by Mingma last updated on 17/Apr/23 Nice solution, sir! Answered by aleks041103 last updated on 17/Apr/23 $${cos}\left({sin}\left({x}\right)\right)={Re}\left({exp}\left({i}\:{sin}\left({x}\right)\right)\right)…
Question Number 191041 by mustafazaheen last updated on 16/Apr/23 Commented by mustafazaheen last updated on 16/Apr/23 $$\mathrm{How}\:\mathrm{is}\:\mathrm{solution}? \\ $$ Commented by mr W last updated…
Question Number 125506 by mathmax by abdo last updated on 11/Dec/20 $$\mathrm{let}\:\mathrm{C}=\left\{\mathrm{z}/\mid\mathrm{z}\mid=\mathrm{2}\right\}\:\mathrm{find}\:\int_{\mathrm{C}} \:\frac{\mathrm{z}^{\mathrm{2}} \mathrm{sinz}\:\mathrm{cosz}}{\left(\mathrm{z}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dz} \\ $$ Commented by ZiYangLee last updated on 11/Dec/20…
Question Number 125505 by mathmax by abdo last updated on 11/Dec/20 $$\mathrm{let}\:\mathrm{C}=\left\{\mathrm{z}/\mid\mathrm{z}\mid=\mathrm{1}\right\}\:\mathrm{calculste}\:\int_{\mathrm{C}} \mathrm{tanz}\:\mathrm{dz} \\ $$ Answered by mathmax by abdo last updated on 11/Dec/20 $$\int_{\mathrm{C}}…
Question Number 125503 by mathmax by abdo last updated on 11/Dec/20 $$\mathrm{explicit}\:\:\mathrm{f}\left(\mathrm{x}\right)=\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{ln}\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2xcos}\theta\:+\mathrm{1}\right)\mathrm{d}\theta\:\:\:\left(\mathrm{xreal}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 125501 by mathmax by abdo last updated on 11/Dec/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\sum_{\mathrm{n}=\mathrm{2}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} \left(\mathrm{2n}+\mathrm{1}\right)}{\mathrm{n}^{\mathrm{4}} −\mathrm{1}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 125500 by mathmax by abdo last updated on 11/Dec/20 $$\mathrm{find}\:\mathrm{relation}\:\mathrm{between}\:\int\:\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}\:\mathrm{and}\:\int\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)\mathrm{dx}\:\: \\ $$ Answered by mathmax by abdo last updated on 11/Dec/20 $$\mathrm{let}\:\left[\mathrm{a},\mathrm{b}\right]\subset\overset{−}…
Question Number 59960 by cesar.marval.larez@gmail.com last updated on 16/May/19 Answered by MJS last updated on 16/May/19 $$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{understand}\:\mathrm{the}\:\mathrm{question} \\ $$$$\mathrm{is}\:{A}\:\mathrm{the}\:\mathrm{source}\:\mathrm{or}\:\mathrm{the}\:\mathrm{target}\:\mathrm{of}\:\mathrm{the}\:\mathrm{vectors}? \\ $$$$\mathrm{if}\:\mathrm{it}'\mathrm{s}\:\mathrm{the}\:\mathrm{source} \\ $$$${X}={A}+\overset{\rightarrow} {\mathfrak{v}}=\left({a},\:{b}\right)+\left({v},\:{w}\right)=\left({a}+{v},\:{b}+{w}\right) \\…