Question Number 53924 by F_Nongue last updated on 27/Jan/19 $$\mathrm{If}\:\mathrm{the}\:\mathrm{non}−\mathrm{zero}\:\mathrm{numbers}\:{x},\:{y},\:{z}\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}, \\ $$$$\mathrm{and}\:\mathrm{tan}^{−\mathrm{1}} {x},\:\mathrm{tan}^{−\mathrm{1}} {y},\:\mathrm{tan}^{−\mathrm{1}} {z}\:\mathrm{are}\:\mathrm{also}\:\mathrm{in}\:\mathrm{AP}, \\ $$$$\mathrm{then} \\ $$ Answered by $@ty@m last updated on…
Question Number 53894 by muhsangsll last updated on 27/Jan/19 $$\underset{\pi/\mathrm{6}} {\overset{\mathrm{5}\pi/\mathrm{6}} {\int}}\sqrt{\mathrm{4}−\mathrm{4}\:\mathrm{sin}^{\mathrm{2}} {t}}\:{dt}\:= \\ $$ Answered by byaw last updated on 27/Jan/19 $$\int_{\pi/\mathrm{6}} ^{\mathrm{5}\pi/\mathrm{6}} \sqrt{\mathrm{4}\left(\mathrm{1}−{sin}^{\mathrm{2}}…
Question Number 53697 by gunawan last updated on 25/Jan/19 $$\mathrm{The}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\underset{\mathrm{log}\:\mathrm{2}} {\overset{{x}} {\int}}\:\:\frac{\mathrm{1}}{\:\sqrt{{e}^{{x}} −\mathrm{1}}}\:{dx}=\:\frac{\pi}{\mathrm{6}}\:\mathrm{is}\:\mathrm{given}\:\mathrm{by} \\ $$ Commented by Abdo msup. last updated on 25/Jan/19…
Question Number 53696 by gunawan last updated on 25/Jan/19 $$\mathrm{Let}\:{I}_{{n}} =\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{4}} {\int}}\:\mathrm{tan}^{{n}} {x}\:{dx},\:\left({n}>\mathrm{1}\:\mathrm{and}\:{n}\in{N}\right),\:\mathrm{then} \\ $$ Commented by Abdo msup. last updated on 25/Jan/19 $${sir}\:{this}\:{integral}\:{is}\:{solved}\:{see}\:{the}\:{platform}……
Question Number 53695 by gunawan last updated on 25/Jan/19 $$\mathrm{If}\:\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:{e}^{−{x}^{\mathrm{2}} } {dx}\:=\:\sqrt{\frac{\pi}{\mathrm{2}}}\:,\:\mathrm{then}\:\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:{e}^{−{ax}^{\mathrm{2}} } {dx}, \\ $$$${a}\:>\:\mathrm{0}\:\:\mathrm{is} \\ $$ Commented by Abdo…
Question Number 53694 by gunawan last updated on 25/Jan/19 $$\:\underset{\:\mathrm{0}} {\overset{{r}\:\pi} {\int}}\:\:\mathrm{sin}^{\mathrm{2}{n}} {x}\:{dx}\:= \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 25/Jan/19 $$\int_{\mathrm{0}} ^{\pi} {sinxdx}=\mid−{cosx}\mid_{\mathrm{0}}…
Question Number 53693 by gunawan last updated on 25/Jan/19 $$\:\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\frac{{x}+\mathrm{sin}\:{x}}{\mathrm{1}+\mathrm{cos}\:{x}}\:{dx}\:= \\ $$ Commented by maxmathsup by imad last updated on 25/Jan/19 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 53556 by 0955083339 last updated on 23/Jan/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:{k}\:\mathrm{for}\:\mathrm{which}\:\mathrm{the} \\ $$$$\mathrm{system}\:\mathrm{of}\:\mathrm{linear}\:\mathrm{equations}\:\:{kx}+\mathrm{2}{y}=\mathrm{5}\: \\ $$$$\mathrm{and}\:\:\:\mathrm{3}{x}+{y}=\mathrm{1}\:\mathrm{has}\:\mathrm{zero}\:\mathrm{solutions}. \\ $$ Commented by Kunal12588 last updated on 23/Jan/19 $$\mathrm{3}{kx}+\mathrm{6}{y}=\mathrm{5} \\…
Question Number 53532 by gunawan last updated on 23/Jan/19 $$\mathrm{The}\:\mathrm{derivative}\:\mathrm{of}\:{F}\:\left({x}\right)=\underset{{x}^{\mathrm{2}} } {\overset{{x}^{\mathrm{3}} } {\int}}\:\frac{\mathrm{1}}{\mathrm{log}\:{t}}\:{dt} \\ $$$$\left({x}\:>\mathrm{0}\right)\:\mathrm{is} \\ $$ Commented by Abdo msup. last updated on…
Question Number 53522 by 0955083339 last updated on 22/Jan/19 $$\mathrm{Cost}\:\mathrm{of}\:\:\mathrm{2}\:\mathrm{pencils}\:\mathrm{and}\:\:\mathrm{3}\:\mathrm{erasers}\:\mathrm{is}\:\mathrm{Rs}.\mathrm{18}, \\ $$$$\mathrm{while}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{of}\:\:\mathrm{1}\:\:\mathrm{pencil}\:\mathrm{and}\:\:\mathrm{2}\:\mathrm{erasers} \\ $$$$\mathrm{is}\:\mathrm{Rs}.\:\mathrm{11}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{of}\:\mathrm{each}\:\mathrm{pencil}. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jan/19 $$\mathrm{2}{p}+\mathrm{3}{er}=\mathrm{18}×\mathrm{2} \\…