Question Number 77464 by naka3546 last updated on 06/Jan/20 $$\underset{\:\:\mathrm{0}} {\int}\:\overset{\frac{\pi}{\mathrm{2}}} {\:}\mathrm{ln}\:\left(\mathrm{2}\:\mathrm{cos}\:{x}\right)\:{dx}\:\:=\:\:? \\ $$ Commented by kaivan.ahmadi last updated on 06/Jan/20 $${u}={ln}\left(\mathrm{2}{cosx}\right)\Rightarrow{du}=−{tgxdx} \\ $$$${dv}={dx}\Rightarrow{v}={x} \\…
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Question Number 142992 by otchereabdullai@gmail.com last updated on 08/Jun/21 Commented by otchereabdullai@gmail.com last updated on 08/Jun/21 $$\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:\mathrm{understand}\:\mathrm{why}\:\mathrm{we}\: \\ $$$$\mathrm{have}\:\mathrm{S}=−\mathrm{20m}\:\mathrm{in}\:\mathrm{option}\:\left(\mathrm{b}\right) \\ $$ Commented by Olaf_Thorendsen last…
Question Number 77459 by jagoll last updated on 06/Jan/20 $$ \\ $$$$ \\ $$$${the}\:{greatest}\:{value}\:{of}\:{n}\:{so}\:{that}\: \\ $$$${only}\:{one}\:{value}\:{of}\:{k}\:{satisfies}\: \\ $$$$\frac{\mathrm{8}}{\mathrm{15}}<\frac{{n}}{{n}+{k}}<\frac{\mathrm{7}}{\mathrm{13}}\:{is}\: \\ $$ Answered by MJS last updated…
Question Number 11921 by carrot last updated on 05/Apr/17 $${given}\:{that}\:{y}={Acos}\mathrm{5}{x}\:+\:{Bsin}\mathrm{5}{x}, \\ $$$${show}\:{that}\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }+\mathrm{25}{y}=\mathrm{0} \\ $$ Answered by sandy_suhendra last updated on 05/Apr/17 $$\frac{\mathrm{dy}}{\mathrm{dx}}=−\mathrm{5Asin5x}\:+\:\mathrm{5Bcos5x} \\…
Question Number 11920 by carrot last updated on 05/Apr/17 $${differentiate}\:{each}\:{function}\:{from}\:{first}\:{principle} \\ $$$$\left.\mathrm{1}\right){f}\:\left({x}\right)\:=\:\mathrm{1}+\frac{\mathrm{1}}{{x}} \\ $$$$\left.\mathrm{2}\right){f}\left({x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}{x}+\mathrm{3}}\: \\ $$$$\left.\mathrm{3}\right)\:{f}\left({x}\right)={sin}\mathrm{2}{x} \\ $$$$\left.\mathrm{4}\right){f}\left({x}\right)={co}\mathrm{2}{x} \\ $$$$ \\ $$ Answered by sandy_suhendra…
Question Number 142989 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{e}^{−\mathrm{3x}^{\mathrm{2}} } }{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 142988 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} \mathrm{wich}\:\mathrm{verify}\:\mathrm{u}_{\mathrm{n}} +\mathrm{u}_{\mathrm{n}+\mathrm{1}} =\frac{\mathrm{2}}{\:\sqrt{\mathrm{n}}} \\ $$$$\mathrm{give}\:\mathrm{a}\:\mathrm{equivalent}\:\mathrm{of}\:\mathrm{u}_{\mathrm{n}} \:\:\left(\mathrm{n}\rightarrow\infty\right) \\ $$ Terms of Service Privacy Policy…
Question Number 77452 by Sayantan chakraborty last updated on 06/Jan/20 $$\int\mathrm{e}^{\mathrm{x}^{\mathrm{3}} +\mathrm{x}^{\mathrm{2}} −\mathrm{1}} \left(\mathrm{3x}^{\mathrm{4}} +\mathrm{2x}^{\mathrm{2}} +\mathrm{2x}\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142990 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } }{\left(\mathrm{3}+\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by qaz last updated…