5.4 Indefinite Integrals and the Net Change Theorem/23

$\int _{-1}^{0}(2x-e^{x})dx$

$=\int _{-1}^{0}2xdx-\int \limits _{-1}^{0}e^{x}dx$

$=-1-(1-{\frac {1}{e}})={\frac {1}{e}}-2$