Question Number 200930 by Spillover last updated on 26/Nov/23
$${If}\:{I}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{1}−{x}^{\mathrm{4}} \right)^{{n}} {dx}\:\:{and}\:\:\frac{{I}_{{n}} }{{I}_{{n}−\mathrm{1}} }=\frac{\lambda{n}}{\lambda{n}+\mathrm{1}} \\ $$$${then}\:{find}\:\:\lambda \\ $$
Commented by mr W last updated on 26/Nov/23
$${i}\:{think}\:{it}'{s}\:{wrong}.\:\frac{{I}_{{n}} }{{I}_{{n}−\mathrm{1}} }\:{can}\:{not}\:{be} \\ $$$${written}\:{as}\:\frac{\lambda{n}}{\lambda{n}+\mathrm{1}}. \\ $$