Question Number 114777 by mathdave last updated on 21/Sep/20 Answered by maths mind last updated on 21/Sep/20 $$\sqrt{{x}}={t}\Rightarrow{dx}=\mathrm{2}{tdt} \\ $$$$=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{2}{tcl}_{\mathrm{2}} \left({t}\right){dt} \\ $$$$=\int_{\mathrm{0}}…
Question Number 114768 by ZiYangLee last updated on 21/Sep/20 $$\mathrm{Solve}\:\mathrm{for}\:\mid{x}−\mathrm{2}\mid+\mid\mathrm{1}−{x}\mid=\mathrm{4} \\ $$ Answered by bobhans last updated on 21/Sep/20 $$\left(\mathrm{1}\right)\:{x}<\mathrm{1}\:\Rightarrow\:\mathrm{2}−{x}+\mathrm{1}−{x}=\mathrm{4} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}−\mathrm{2}{x}\:=\:\mathrm{4}\:;\:{x}=−\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{1}\leqslant{x}<\mathrm{2}\Rightarrow\mathrm{2}−{x}+{x}−\mathrm{1}=\mathrm{4} \\…
Question Number 49210 by gunawan last updated on 04/Dec/18 Commented by gunawan last updated on 04/Dec/18 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{is}\:\mathrm{theorm} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 114740 by mathdave last updated on 20/Sep/20 $${question}\:{proposed}\:{by}\:{m}.{n}\:{july}\:\mathrm{1970} \\ $$$${show}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{ln}\left(\mathrm{1}+{x}\right)}{{x}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{dx}=\frac{\mathrm{5}\pi^{\mathrm{2}} }{\mathrm{48}} \\ $$ Answered by mathdave last updated…
Question Number 114728 by aurpeyz last updated on 20/Sep/20 $$ \\ $$$$\left(\mathrm{3}+\mathrm{4}{x}\right)^{−\mathrm{5}} \\ $$$$=\mathrm{3}^{−\mathrm{5}} ×\left(\mathrm{1}+\frac{\mathrm{4}}{\mathrm{3}}{x}\right)^{−\mathrm{5}} \\ $$$$… \\ $$$${pls}\:{what}\:{is}\:{the}\:{explanation}\:{behind}\:{the}\:{fact} \\ $$$${that}\:{i}\:{always}\:{have}\:{to}\:{factorize}\:{to}\:{get}\:{the}\:{form} \\ $$$$\left(\mathrm{1}+{b}\right)^{−{s}} \:{any}\:{time}\:{i}\:{am}\:{solving}\:{for}\:{binomial} \\…
Question Number 114710 by mohammad17 last updated on 20/Sep/20 Answered by 1549442205PVT last updated on 20/Sep/20 $$\mathrm{We}\:\mathrm{need}\:\mathrm{find}\:\delta>\mathrm{0}\:\mathrm{such}\:\mathrm{that}\forall\mathrm{x},\mathrm{y}\:: \\ $$$$\mid\mathrm{x}−\mathrm{0}\mid<\delta,\mid\mathrm{y}−\mathrm{0}\mid<\delta\left(\mathrm{1}\right)\:\mathrm{then} \\ $$$$\mid\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} −\mathrm{0}\mid<\mathrm{8}\:\left(\mathrm{2}\right).\mathrm{Because} \\ $$$$\mathrm{It}\:\mathrm{is}\:\mathrm{clear}\:\mathrm{when}\:\mid\mathrm{x}\mid<\mathrm{1}\:\mathrm{and}\:\mid\mathrm{y}\mid<\mathrm{1}…
Question Number 114708 by mohammad17 last updated on 20/Sep/20 Commented by mohammad17 last updated on 20/Sep/20 $${help}\:{me}\:{sir} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 114706 by mohammad17 last updated on 20/Sep/20 Commented by mohammad17 last updated on 20/Sep/20 $${please}\:{sir}\:{help}\:{me} \\ $$ Answered by 1549442205PVT last updated on…
Question Number 114709 by mohammad17 last updated on 20/Sep/20 Commented by mohammad17 last updated on 20/Sep/20 $${help}\:{me}\:{sir}\:{pleas} \\ $$ Answered by 1549442205PVT last updated on…
Question Number 114689 by arkanmath7@gmail.com last updated on 20/Sep/20 $$\int{xsin}^{{n}} {xdx} \\ $$ Answered by 1549442205PVT last updated on 20/Sep/20 $$\mathrm{Just}\:\mathrm{give}\:\mathrm{out}\:\mathrm{reduction}\:\mathrm{formula}: \\ $$$$\mathrm{Integrating}\:\mathrm{by}\:\mathrm{parts}\:\mathrm{we}\:\mathrm{get}: \\ $$$$\mathrm{I}_{\mathrm{n}}…