Question Number 11632 by Joel576 last updated on 29/Mar/17 Answered by sandy_suhendra last updated on 29/Mar/17 Commented by sandy_suhendra last updated on 29/Mar/17 $$\mathrm{Area}\:\Delta\mathrm{AOB}\:+\:\mathrm{Area}\:\Delta\:\mathrm{BPC} \\…
Question Number 77164 by Maclaurin Stickker last updated on 03/Jan/20 Commented by Maclaurin Stickker last updated on 03/Jan/20 $${I}\:{got}\:{x}=\mathrm{5}.\:{Is}\:{my}\:{answer}\:{correct}? \\ $$ Commented by mr W…
Question Number 11628 by uni last updated on 29/Mar/17 $$\mathrm{p}\left(\mathrm{x}−\mathrm{1}\right)+\mathrm{p}\left(\mathrm{x}+\mathrm{1}\right)=\mathrm{4x}^{\mathrm{2}} −\mathrm{2x}+\mathrm{10} \\ $$$$\mathrm{p}\left(\mathrm{x}\right)=? \\ $$ Answered by sandy_suhendra last updated on 29/Mar/17 $$\mathrm{let}\:\mathrm{p}\left(\mathrm{x}\right)=\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c} \\…
Question Number 77160 by Chi Mes Try last updated on 03/Jan/20 Commented by Chi Mes Try last updated on 03/Jan/20 $${please}\:{help}\:{out} \\ $$ Answered by…
Question Number 142698 by Willson last updated on 04/Jun/21 $$\mathrm{Prove}\:\mathrm{that}\:\forall\mathrm{n}\in\mathbb{N}^{\ast} \\ $$$$\:\:\:\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}−\mathrm{1}} {\prod}}\mathrm{sin}\left(\frac{\mathrm{k}\pi}{\mathrm{2n}}\right)\:=\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}−\mathrm{1}} {\prod}}\mathrm{cos}\left(\frac{\mathrm{k}\pi}{\mathrm{2n}}\right) \\ $$ Answered by Ar Brandon last updated on…
Question Number 77158 by TawaTawa last updated on 03/Jan/20 $$\int_{−\mathrm{2}} ^{\:\mathrm{2}} \:\left(\mathrm{x}^{\mathrm{3}} \:\mathrm{cos}\frac{\mathrm{x}}{\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\right)\sqrt{\mathrm{4}\:−\:\mathrm{x}^{\mathrm{2}} }\:\:\mathrm{dx} \\ $$ Commented by TawaTawa last updated on 03/Jan/20 $$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\…
Question Number 11621 by Nayon last updated on 29/Mar/17 $${Evaluate}\:\:\int\frac{{ax}+{b}}{{cx}+{d}}{dx} \\ $$ Answered by mrW1 last updated on 29/Mar/17 $$=\int\frac{\frac{{a}}{{c}}\left({cx}+{d}\right)+\left({b}−\frac{{ad}}{{c}}\right)}{{cx}+{d}}{dx} \\ $$$$=\frac{{a}}{{c}}\int{dx}+\left({b}−\frac{{ad}}{{c}}\right)×\frac{\mathrm{1}}{{c}}\int\frac{{d}\left({cx}+{d}\right)}{{cx}+{d}} \\ $$$$=\frac{{ax}}{{c}}+\frac{{bc}−{ad}}{{c}^{\mathrm{2}} }×\mathrm{ln}\:\left({cx}+{d}\right)+{C}…
Question Number 142689 by rs4089 last updated on 04/Jun/21 Answered by Dwaipayan Shikari last updated on 04/Jun/21 $$\int_{\mathrm{0}} ^{\infty} \frac{{sin}\left({x}\right)}{{x}}{f}\left({x}\right){dx}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {f}\left({x}\right){dx}\:\:\:\:{f}\left({x}\pm\pi\right)={f}\left({x}\right) \\ $$$${let}\:{f}\left({x}\right)={sin}^{\mathrm{2}{n}−\mathrm{2}} {x}\:\:\:\:\:\:…
Question Number 77154 by Boyka last updated on 03/Jan/20 Commented by Boyka last updated on 04/Jan/20 $$\mathrm{sir}\:\:\:\mathrm{w}\:\:,\:\mathrm{mind}\:\mathrm{is}\:\mathrm{power} \\ $$ Commented by mr W last updated…
Question Number 11619 by Nayon last updated on 29/Mar/17 $${Evaluate}\:\int\frac{{dx}}{\left({x}+{a}\right)\left({x}+{b}\right)} \\ $$ Commented by Nayon last updated on 29/Mar/17 $${someone}\:{pls}\:{ans} \\ $$ Answered by mrW1…