please state which option is correct with explanation. Thanks..

\fEvaluate the integral 1 . f (t ) = > An + 2 f (t ) = T-Sex ds . n=4 as a power series. 2. f (t ) = ) (-1) " An+ 2 An + 2 n=0 00 14n+2 3. f (t) = > An + 2 n=0 4. f(t) = An n=0 O 00 (-1)mfin 5. f(t) = M An n=0