Question Number 55777 by gunawan last updated on 04/Mar/19 $$\underset{\:\mathrm{0}} {\overset{\pi} {\int}}\:\:\mathrm{cos}^{\mathrm{7}} {x}\:\mathrm{sin}\:\mathrm{3}{x}\:{dx}\:=\:\mathrm{0} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 04/Mar/19 $${I}=\int_{\mathrm{0}} ^{\pi} \left\{{cos}\left(\pi−{x}\right)\right\}^{\mathrm{7}}…
Question Number 55774 by gunawan last updated on 04/Mar/19 $$\:\underset{−\mathrm{1}/\mathrm{2}} {\overset{\mathrm{1}/\mathrm{2}} {\int}}\:\mathrm{cos}\:{x}\:\mathrm{log}\:\left(\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}\right)\:{dx}\:= \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 04/Mar/19 $${f}\left({x}\right)={cosxln}\left(\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}\right) \\ $$$${f}\left(−{x}\right)={cosxln}\left(\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}\right) \\…
Question Number 55775 by gunawan last updated on 04/Mar/19 $$\:\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\:\mid\mathrm{sin}\:\mathrm{2}\pi\:{x}\mid\:{dx}\:= \\ $$ Commented by maxmathsup by imad last updated on 04/Mar/19 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 55773 by gunawan last updated on 04/Mar/19 $$\:\underset{−\pi} {\overset{\pi} {\int}}\:\mathrm{sin}\:{x}\:{f}\left(\mathrm{cos}\:{x}\right)\:{dx}\:= \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 04/Mar/19 $${g}\left({x}\right)={sinxf}\left({cosx}\right) \\ $$$${g}\left(−{x}\right)=−{sinxf}\left({cosx}\right) \\…
Question Number 55772 by gunawan last updated on 04/Mar/19 $$\:\underset{−\pi/\mathrm{3}} {\overset{\pi/\mathrm{3}} {\int}}\:\frac{{x}\:\mathrm{sin}\:{x}}{\mathrm{cos}^{\mathrm{2}} {x}}\:{dx}\:= \\ $$ Commented by maxmathsup by imad last updated on 04/Mar/19 $${let}\:\:{A}=\:\int_{−\frac{\pi}{\mathrm{3}}}…
Question Number 55526 by alex26 last updated on 26/Feb/19 $$\mathrm{If}\:\underset{−\mathrm{1}} {\overset{\mathrm{4}} {\int}}\:{f}\left({x}\right)\:{dx}\:=\:\mathrm{4}\:\mathrm{and}\:\underset{\mathrm{2}} {\overset{\mathrm{4}} {\int}}\:\left(\mathrm{3}−{f}\left({x}\right)\right){dx}=\mathrm{7}, \\ $$$$\mathrm{then}\:\:\underset{\:\mathrm{2}} {\overset{−\mathrm{1}} {\int}}\:{f}\left({x}\right)\:{dx}\:= \\ $$ Commented by mr W last…
Question Number 55089 by eso last updated on 17/Feb/19 $$\:\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\:\frac{\mathrm{1}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}/\mathrm{2}} }\:{dx}\:= \\ $$ Commented by maxmathsup by imad last updated on 17/Feb/19…
Question Number 54970 by Tip Top last updated on 15/Feb/19 $$\mathrm{If}\:\:\:{a}\:\mathrm{cos}\:{A}={b}\:\mathrm{cos}\:{B}\:\:\mathrm{in}\:\mathrm{a}\:\bigtriangleup{ABC},\: \\ $$$$\mathrm{then}\:\angle{C}\:\:\mathrm{is} \\ $$ Answered by $@ty@m last updated on 15/Feb/19 $${Given} \\ $$$$\frac{{a}}{{b}}=\frac{\mathrm{cos}\:{B}}{\mathrm{cos}\:{A}}\:\:…\left(\mathrm{1}\right)…
Question Number 54541 by Tip Top last updated on 05/Feb/19 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:{x}\:\mathrm{between}\:\:\:\mathrm{0}\:\:\mathrm{and}\:\:\:\mathrm{2}\pi\: \\ $$$$\mathrm{which}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\mathrm{sin}\:{x}\:\sqrt{\mathrm{8}\:\mathrm{cos}\:^{\mathrm{2}} {x}}\:=\:\mathrm{1}\:\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}\: \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…
Question Number 54468 by soksan last updated on 04/Feb/19 $$\mathrm{First}\:\mathrm{three}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{given} \\ $$$$\mathrm{by}\:\:{a}_{\mathrm{1}} =\mathrm{1},\:{a}_{{n}} ={a}_{{n}−\mathrm{1}} +\mathrm{2}{a}_{{n}−\mathrm{2}} \:\mathrm{are}\:\mathrm{in} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com