Question Number 148812 by mathmax by abdo last updated on 31/Jul/21 $$\mathrm{find}\:\int\:\:\frac{\mathrm{dx}}{\left(\sqrt{\mathrm{x}}+\sqrt{\mathrm{x}+\mathrm{1}}\right)\left(\sqrt{\mathrm{x}−\mathrm{1}}+\sqrt{\mathrm{x}}\right)} \\ $$ Answered by MJS_new last updated on 31/Jul/21 $$\int\frac{{dx}}{\left(\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}+\sqrt{{x}−\mathrm{1}}\right)}= \\ $$$$=\int\left(\frac{\mathrm{1}}{\left(\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}+\sqrt{{x}−\mathrm{1}}\right)}×\frac{\left(\sqrt{{x}}−\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}−\sqrt{{x}−\mathrm{1}}\right)}{\left(\sqrt{{x}}−\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}−\sqrt{{x}−\mathrm{1}}\right)}\right){dx}= \\…
Question Number 17742 by tawa tawa last updated on 10/Jul/17 $$\mathrm{x}^{\mathrm{3}} \:=\:\mathrm{3}^{\mathrm{x}} ,\:\:\:\mathrm{find}\:\mathrm{x}. \\ $$ Commented by 1kanika# last updated on 10/Jul/17 $$\mathrm{x}=\mathrm{3} \\ $$…
Question Number 148815 by mathmax by abdo last updated on 31/Jul/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{x}^{\mathrm{n}} }{\left(\mathrm{x}^{\mathrm{2n}} +\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx}\:\:\:\:\:\left(\mathrm{n}\geqslant\mathrm{2}\:\:\mathrm{integr}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 83276 by 09658867628 last updated on 29/Feb/20 $$\int\mathrm{s}{ec}^{\mathrm{5}} \mathrm{3}{x}\bullet\mathrm{s}{ec}\mathrm{3}{x}\mathrm{tan}\:\mathrm{3}{xdx} \\ $$ Answered by TANMAY PANACEA last updated on 29/Feb/20 $${t}={sec}\mathrm{3}{x}\rightarrow{dt}=\mathrm{3}{sec}\mathrm{3}{x}.{tan}\mathrm{3}{x}\:{dx} \\ $$$$\int{t}^{\mathrm{5}} ×\frac{{dt}}{\mathrm{3}}=\frac{{t}^{\mathrm{6}}…
Question Number 17740 by b.e.h.i.8.3.417@gmail.com last updated on 10/Jul/17 Commented by b.e.h.i.8.3.417@gmail.com last updated on 10/Jul/17 $${solve}\:{for}\:{x}\:{and}\:{y}\:. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 148809 by jlewis last updated on 31/Jul/21 $$\underset{\mathrm{i}=\mathrm{0}} {\overset{\infty} {\sum}}\left[\left(−\mathrm{0}.\mathrm{5x}^{\mathrm{2}} \right)\mathrm{i}/\mathrm{i}!\right]\:\mathrm{integrate} \\ $$ Answered by qaz last updated on 31/Jul/21 $$\underset{\mathrm{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}^{\mathrm{2}}…
Question Number 17736 by uchechukwu okorie favour last updated on 09/Jul/17 $${evaluate};\:\int\mathrm{ln}\:\left(\mathrm{sin}\:\mathrm{2}{x}\right){dx} \\ $$ Commented by Tinkutara last updated on 14/Jul/17 $$\mathrm{This}\:\mathrm{integral}\:\mathrm{is}\:\mathrm{not}\:\mathrm{defined}. \\ $$ Terms…
Question Number 17735 by tawa tawa last updated on 09/Jul/17 $$\mathrm{Solve}:\:\:\frac{\mathrm{dy}}{\mathrm{dx}}\:+\:\mathrm{ysec}\left(\mathrm{x}\right)\:=\:\mathrm{tan}\left(\mathrm{x}\right) \\ $$ Answered by alex041103 last updated on 10/Jul/17 $$\mathrm{So}\:\mathrm{let}'\mathrm{s}\:\mathrm{find}\:\mathrm{function}\:\mu\left(\mathrm{x}\right)\:\mathrm{wich}\:\mathrm{satisfies}\:\mathrm{the}\:\mathrm{followinv} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}\mu+\mathrm{P}\left(\mathrm{x}\right)\mu\mathrm{y}=\frac{\mathrm{d}}{\mathrm{dx}}\left[\mathrm{y}\mu\right] \\ $$$$\mathrm{We}\:\mathrm{know}\:\mathrm{that}…
Question Number 148804 by saly last updated on 31/Jul/21 Commented by saly last updated on 31/Jul/21 $$\:\:\:{Construct}\:\:{a}\:{graph}\:\:{of}\:{a}\:{functoin}? \\ $$$$\:\:{help}\:{me}\:…… \\ $$ Answered by ArielVyny last…
Question Number 17734 by tawa tawa last updated on 09/Jul/17 $$\mathrm{If}\:\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{3}} \:−\:\mathrm{3xy}\:=\:\mathrm{0}, \\ $$$$\mathrm{Show}\:\mathrm{that},\:\:\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }\:=\:\frac{−\:\mathrm{2xy}}{\mathrm{y}^{\mathrm{2}} \:−\:\mathrm{x}^{\mathrm{2}} } \\ $$ Terms of Service Privacy…