Question Number 1778 by 112358 last updated on 23/Sep/15 $${Let}\:{P}\left({t}\right)\:{denote}\:{a}\:{given}\:{cubic} \\ $$$${polynomial}.\:{Find}\:{the}\:{constants} \\ $$$${a}_{\mathrm{1}} ,{u}_{\mathrm{1}} ,{a}_{\mathrm{2}} \:{and}\:{u}_{\mathrm{2}} \:{such}\:{that} \\ $$$$\int_{−\mathrm{1}} ^{\:\mathrm{1}} {P}\left({t}\right){dt}={a}_{\mathrm{1}} {P}\left({u}_{\mathrm{1}} \right)+{a}_{\mathrm{2}} {P}\left({u}_{\mathrm{2}}…
Question Number 1780 by 112358 last updated on 23/Sep/15 $${Find}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\pi} {f}\left({x}\right){cosxdx} \\ $$$${given}\:{that}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{f}\left({x}\right)=\mathrm{1}+\mathrm{2}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{coskx}.\: \\ $$ Commented by Rasheed…
Question Number 67310 by mathmax by abdo last updated on 25/Aug/19 $${calculate}\:\int_{−\infty} ^{+\infty} \:\:\frac{{dx}}{{x}^{\mathrm{4}} \:+{x}^{\mathrm{2}} \:+\mathrm{1}} \\ $$ Commented by mathmax by abdo last updated…
Question Number 132838 by Ahmed1hamouda last updated on 16/Feb/21 Answered by TheSupreme last updated on 17/Feb/21 $$\int\int\left({x}+{y}\right)^{\mathrm{2}} {sin}^{\mathrm{2}} \left({x}−{y}\right){dA} \\ $$$${R}=\left\{\left({x},{y}\right)\mid−\mathrm{1}<{x}−{y}<\mathrm{1},\:\mathrm{1}<{x}+{y}<\mathrm{3}\right\} \\ $$$${set}\:{u}={x}+{y},\:{v}={x}−{y} \\ $$$${R}'=\left\{\left({u},{v}\right)\mid−\mathrm{1}<{v}<\mathrm{1},\mathrm{1}<{u}<\mathrm{3}\right\}…
Question Number 1758 by prakash jain last updated on 18/Sep/15 $$\mathrm{Prove}\:\mathrm{that} \\ $$$$\mathrm{sequence}\:\frac{\mathrm{1}}{{p}},\:{p}\:\mathrm{prime}\:\mathrm{number}\:\mathrm{is}\:\mathrm{divergent}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 132798 by metamorfose last updated on 16/Feb/21 $$\overset{\frac{\pi}{\mathrm{2}}} {\int}_{\mathrm{0}} \left(\sqrt{\mathrm{sin}\:\left({x}\right)}+\sqrt{\mathrm{cos}\:\left({x}\right)}\right){dx} \\ $$ Answered by Ñï= last updated on 17/Feb/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \left(\sqrt{{sinx}}+\sqrt{{cosx}}\right){dx} \\…
Question Number 67246 by Learner-123 last updated on 24/Aug/19 $${Integrate}: \\ $$$$\left.\mathrm{1}\right)\:\underset{\mathrm{3}} {\overset{\:\infty} {\int}}\:\frac{\mathrm{1}/{x}\:{dx}}{{ln}\left({x}\right)\sqrt{{ln}^{\mathrm{2}} {x}−\mathrm{1}}} \\ $$$$\left.\mathrm{2}\right)\:\underset{\mathrm{1}} {\overset{\infty} {\int}}\frac{{e}^{{x}} {dx}}{\mathrm{1}+{e}^{\mathrm{2}{x}} } \\ $$$$\left.\mathrm{3}\right)\:\underset{\mathrm{1}} {\overset{\infty} {\int}}\:\frac{\mathrm{2}^{{x}}…
Question Number 67235 by prof Abdo imad last updated on 24/Aug/19 $${find}\:\:\int_{−\frac{\pi}{\mathrm{3}}} ^{\frac{\pi}{\mathrm{3}}} \:{x}^{\mathrm{2}} \left\{{cosx}−{sinx}\right\}^{\mathrm{3}} {dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 67233 by prof Abdo imad last updated on 24/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{xdx}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }} \\ $$ Commented by mind is power last updated on…
Question Number 67231 by mhmd last updated on 24/Aug/19 $$\left.{find}\:\int{x}/{x}^{\mathrm{5}} −\mathrm{1}\right)\:{dx} \\ $$ Answered by mind is power last updated on 24/Aug/19 $$\left({x}\right){what}\:{do}\:{hou}\:{mean}? \\ $$…