Question Number 140896 by bramlexs22 last updated on 14/May/21 $$\mathrm{the}\:\mathrm{function}\:\mathrm{f}\:\mathrm{with}\:\mathrm{variable}\:\mathrm{x} \\ $$$$\mathrm{satisfies}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\mathrm{x}^{\mathrm{2}} \:\mathrm{f}\:'\left(\mathrm{x}\right)\:+\mathrm{2x}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{arctan}\:\mathrm{x}\:\mathrm{for}\: \\ $$$$\mathrm{0}\:<\:\mathrm{arctan}\:\mathrm{x}\:<\frac{\pi}{\mathrm{2}}\:\mathrm{and}\:\mathrm{f}\left(\mathrm{1}\right)=\frac{\pi}{\mathrm{4}}. \\ $$$$\mathrm{find}\:\mathrm{f}\left(\mathrm{x}\right). \\ $$ Answered by EDWIN88 last…
Question Number 9822 by ridwan balatif last updated on 06/Jan/17 Answered by sandy_suhendra last updated on 06/Jan/17 $$\mathrm{f}\:'\left(\mathrm{x}\right)=\mathrm{k}\left(\mathrm{3x}^{\mathrm{2}} −\mathrm{12x}+\mathrm{9}\right)=\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{3}=\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}−\mathrm{1}\right)=\mathrm{0} \\…
Question Number 9821 by ridwan balatif last updated on 06/Jan/17 Commented by prakash jain last updated on 08/Jan/17 $$\mathrm{Is}\:\mathrm{the}\:\mathrm{question} \\ $$$$\mathrm{Given}\:{f}\left({x}\right)={f}\left({x}+\mathrm{2}\right) \\ $$$$\mathrm{and}\:\int_{\mathrm{0}} ^{\mathrm{2}} {f}\left({x}\right){dx}={B}…
Question Number 140885 by mnjuly1970 last updated on 13/May/21 $$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:…….\:{Advanced}\:::::::::::\bigstar\bigstar\bigstar::::::::::\:{Calculus}……. \\ $$$$\:\:\:\:\:\:{find}\:{the}\:{value}\:{of}\:\:{the}\:{infinite}\:{series}:: \\ $$$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\Theta\::=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}−\mathrm{1}} \mathrm{H}_{\:\mathrm{2}{n}} }{\mathrm{2}{n}−\mathrm{1}}\:=\:??? \\ $$$$\:\:\:\:\:\:\:\:\:\:…….\mathscr{M}.\mathscr{N}.{july}.\mathrm{1970}…….. \\…
Question Number 140866 by liberty last updated on 13/May/21 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{ln}\:\mathrm{2}−\mathrm{ln}\:\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{1}−\mathrm{x}}\:\mathrm{dx}\:=?\: \\ $$ Answered by mindispower last updated on 15/May/21 $$=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\int_{\mathrm{0}} ^{{x}}…
Question Number 75330 by rajesh4661kumar@gmail.com last updated on 10/Dec/19 Commented by MJS last updated on 10/Dec/19 $$\mathrm{is}\:\mathrm{this} \\ $$$${a}^{\mathrm{3}} {y}^{\mathrm{2}} ={x}^{\mathrm{4}} \left({b}+{x}\right) \\ $$$$? \\…
Question Number 9782 by tawakalitu last updated on 03/Jan/17 $$\int\:\:\frac{\mathrm{sin}^{\mathrm{4}} \left(\mathrm{x}\right)}{\mathrm{sin}^{\mathrm{3}} \left(\mathrm{x}\right)\:+\:\mathrm{cos}^{\mathrm{4}} \left(\mathrm{x}\right)}\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140823 by liberty last updated on 13/May/21 $$\mathrm{Determine}\:\mathrm{whether}\:\mathrm{the}\:\mathrm{improper} \\ $$$$\mathrm{integral}\:\mathrm{converges}\:\mathrm{or}\:\mathrm{diverges}\: \\ $$$$\int_{\mathrm{1}} ^{\:\infty} \:\frac{\mathrm{2x}+\mathrm{7}}{\mathrm{7x}^{\mathrm{3}} +\mathrm{5x}^{\mathrm{2}} +\mathrm{1}}\:\mathrm{dx}\: \\ $$ Commented by liberty last updated…
Question Number 140793 by metamorfose last updated on 12/May/21 $$\int\sqrt{\frac{{x}+\mathrm{2}}{{e}^{{x}} }}{dx}=…? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140789 by mnjuly1970 last updated on 12/May/21 $$\:\:\:\:\:\:\:\:…….{nice}…..{math}…. \\ $$$$\:\:\:\:\:\:{calculate}::\:\Theta:=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{}\:=?? \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last updated on…