1. ∫ − 1 1 e u + 1 d u {\displaystyle \int \limits _{-1}^{1}e^{u+1}du} = ∫ − 1 1 e u e 1 d u {\displaystyle \int \limits _{-1}^{1}e^{u}e^{1}du} = e 1 ∫ − 1 1 e u {\displaystyle e^{1}\int \limits _{-1}^{1}e^{u}} = e 1 e u | − 1 1 {\displaystyle e^{1}e^{u}{\bigg |}_{-1}^{1}} = [ e 1 e 1 ] − [ e 1 e − 1 ] {\displaystyle [e^{1}e^{1}]-[e^{1}e^{-1}]} = e 2 − e 0 {\displaystyle e^{2}-e^{0}} = e 2 − 1 {\displaystyle e^{2}-1}
![{\displaystyle [e^{1}e^{1}]-[e^{1}e^{-1}]}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/d227dadc16d2aa0b5bcd93d667ff8d446e153ae2)
