Question Number 91637 by mathmax by abdo last updated on 02/May/20
![f continue on [0,1] stady the serie Σ u_n with u_n =(−1)^n ∫_0 ^1 t^n f)t)dt](https://www.tinkutara.com/question/Q91637.png)
$${f}\:{continue}\:{on}\:\left[\mathrm{0},\mathrm{1}\right]\:{stady}\:{the}\:{serie}\:\Sigma\:{u}_{{n}} \:\:\:{with} \\ $$$$\left.{u}_{{n}} \left.=\left(−\mathrm{1}\right)^{{n}} \:\int_{\mathrm{0}} ^{\mathrm{1}} \:{t}^{{n}} {f}\right){t}\right){dt} \\ $$