5.3 The Fundamental Theorem of Calculus/39

1.$\int \limits _{-1}^{1}e^{u+1}du$ = $\int \limits _{-1}^{1}e^{u}e^{1}du$ = $e^{1}\int \limits _{-1}^{1}e^{u}$ = $e^{1}e^{u}{\bigg |}_{-1}^{1}$ = $[e^{1}e^{1}]-[e^{1}e^{-1}]$ = e^{2}-e^{0} = e^{2}-1