Question Number 78264 by msup trace by abdo last updated on 15/Jan/20 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\pi} {x}\:{cos}^{\mathrm{4}} {x}\:{dxand}\:{J}=\int_{\mathrm{0}} ^{\pi} {x}\:{sin}^{\mathrm{4}} {xdx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{I}+{J}\:{and}\:{I}−{J} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{values}\:{of}\:{I}\:{and}\:{J} \\ $$…
Question Number 78265 by msup trace by abdo last updated on 15/Jan/20 $${find}\:\int\:\:\frac{{sin}^{\mathrm{3}} {x}}{{tan}^{\mathrm{5}} {x}}{dx} \\ $$ Answered by jagoll last updated on 15/Jan/20 $$\int\mathrm{sin}\:^{\mathrm{3}}…
Question Number 12728 by geovane10math last updated on 30/Apr/17 $${x}^{{n}} \:+\:{ca}^{{x}} \:=\:{k}\:\:\:\:\:\:\:\:\:\:{c},\:{a},\:{n},\:{k}\:\mathrm{constant} \\ $$$${x}\:=\:{F}\left({n},\:{a},\:{c},\:{k}\right)\:\:\left(\boldsymbol{{solve}}\:\boldsymbol{{for}}\:\boldsymbol{{x}}\right) \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{will}\:\mathrm{try}\:\mathrm{make}\:{x}^{{n}} \:=\:{k}\:−\:\theta\:\mathrm{and}\:{ca}^{{x}} \:=\:\theta, \\ $$$$\mathrm{but},\:\mathrm{if}\:\mathrm{someone}\:\mathrm{can}\:\mathrm{help},\:{please}! \\ $$ Terms…
Question Number 78263 by msup trace by abdo last updated on 15/Jan/20 $${find}\:{lim}_{{n}\rightarrow+\infty} \sum_{{k}=\mathrm{1}} ^{{n}} {sin}\left(\frac{\mathrm{1}}{{k}+{n}}\right) \\ $$ Commented by jagoll last updated on 15/Jan/20…
Question Number 12725 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 29/Apr/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 29/Apr/17 $${in}\:{triangle}:\:{ABC},{point}\:\:{D}\:{located}\:{on} \\ $$$${triangle}\:{plan},{such}\:{that}: \\ $$$$\angle{ADB}=\angle{BDC}=\angle{CDA}\:{and}: \\ $$$${DH}\parallel{AB}\:,{DG}\parallel{BC}\:,{DF}\parallel{AC}. \\ $$$$\left.\mathrm{1}\right){find}:\:\frac{{DH}}{{AB}}+\frac{{DG}}{{BC}}+\frac{{DF}}{{AC}}\:.…
Question Number 78261 by msup trace by abdo last updated on 15/Jan/20 $${let}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{x}^{{n}} }{\mathrm{1}+{x}}{dx}\:\:{calculate} \\ $$$${U}_{{n}} \:+{U}_{{n}+\mathrm{1}} \\ $$ Commented by jagoll…
Question Number 12724 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 29/Apr/17 Answered by sma3l2996 last updated on 30/Apr/17 $${a}^{{cos}^{\mathrm{2}} {x}} +{a}^{\mathrm{2}{cos}^{\mathrm{2}} {x}−\mathrm{1}} ={a} \\ $$$${a}^{{cos}^{\mathrm{2}} {x}} +\left({a}^{{cos}^{\mathrm{2}}…
Question Number 78256 by SmNayon11 last updated on 15/Jan/20 $$\mathrm{Evaluate}\:\Sigma\mathrm{a}_{\mathrm{1}} \mathrm{a}_{\mathrm{2}} \mathrm{a}_{\mathrm{3}} \: \\ $$$$\mathrm{as}\:\mathrm{a}\:\mathrm{function}\:\mathrm{of}\:\:\mathrm{a}_{\mathrm{i}} \: \\ $$$$ \\ $$$$ \\ $$ Terms of Service…
Question Number 143794 by Huy last updated on 18/Jun/21 $$\mathrm{Prove}\:\:\:\:\:\:\:\:\:\mathrm{3}^{\mathrm{111}} +\mathrm{1}\vdots\mathrm{223} \\ $$ Commented by TheHoneyCat last updated on 18/Jun/21 $${sorry}\:{for}\:{my}\:{ignorance}; \\ $$$${what}\:{does}\:{a}\vdots{b}\:{means}? \\ $$$${I}'{ve}\:{notices}\:{it}\:{is}\:{defined}\:{on}\:{integers}…
Question Number 78254 by mind is power last updated on 15/Jan/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{xln}\left(\mathrm{ln}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\right)}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$$$\mathrm{i}\:\mathrm{poste}\:\mathrm{solution}\:\mathrm{later}! \\ $$ Terms of Service Privacy Policy…