Question Number 130369 by gowsalya last updated on 24/Jan/21 Answered by Olaf last updated on 24/Jan/21 $$\Omega\:=\:\int_{\mid{z}\mid=\mathrm{1}} {xdz} \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{cos}\theta{d}\left(\mathrm{cos}\theta+{i}\mathrm{sin}\theta\right) \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi}…
Question Number 130370 by gowsalya last updated on 24/Jan/21 Answered by TheSupreme last updated on 24/Jan/21 $${z}={e}^{{i}\theta} \\ $$$$\mid{dz}\mid=\mid{ie}^{{i}\theta} {d}\theta\mid={d}\theta \\ $$$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mid{e}^{{i}\theta} −\mathrm{1}\mid{d}\theta…
Question Number 64829 by Tawa1 last updated on 22/Jul/19 Commented by Tawa1 last updated on 22/Jul/19 $$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$ Commented by Tony Lin last updated…
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Question Number 64823 by Tanmay chaudhury last updated on 22/Jul/19 Commented by Tanmay chaudhury last updated on 22/Jul/19 $${pls}\:{try}\:{to}\:{solve}\:{the}\:{above}\:{two}… \\ $$ Commented by mr W…
Question Number 64812 by Rio Michael last updated on 21/Jul/19 $${how}\:{do}\:{i}\:{prove}\:{by}\:{induction}? \\ $$$${please} \\ $$ Commented by MJS last updated on 21/Jul/19 $$\mathrm{show}\:\mathrm{that}\:\mathrm{it}'\mathrm{s}\:\mathrm{true}\:\mathrm{for}\:{n}_{\mathrm{0}} \in\mathbb{N} \\…
Question Number 64804 by mmkkmm000m last updated on 21/Jul/19 $$\overset{+\infty} {\int}_{\mathrm{0}} {e}^{−{x}^{\mathrm{2}} } {dx} \\ $$ Answered by Tanmay chaudhury last updated on 21/Jul/19 $${x}={t}^{\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 130337 by EDWIN88 last updated on 24/Jan/21 $$\:\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{3}\right)^{\mathrm{x}^{\mathrm{2}} −\mathrm{6x}+\mathrm{4}} \:\leqslant\:\mathrm{1}\: \\ $$ Answered by mathmax by abdo last updated on 24/Jan/21 $$\mathrm{e}\Rightarrow\mathrm{e}^{\left(\mathrm{x}^{\mathrm{2}}…
Question Number 64791 by Tawa1 last updated on 21/Jul/19 Commented by Tawa1 last updated on 21/Jul/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{x} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 64788 by Rio Michael last updated on 21/Jul/19 $${two}\:{consercutive}\:{integers}\:{between}\:{which}\:{a}\:{root}\:{of}\:{the}\:{equation}\:{lie}\:{are}: \\ $$$${x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{2}=\mathrm{0} \\ $$ Commented by MJS last updated on 21/Jul/19 $$\mathrm{the}\:\mathrm{roots}\:\mathrm{are}\:{x}=−\mathrm{2}\:\mathrm{and}\:{x}=−\mathrm{1}\:\mathrm{so}\:\mathrm{there}'\mathrm{s}\:\mathrm{no} \\…