5.4 Indefinite Integrals and the Net Change Theorem/23

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} \int_{-1}^{0}(2x-e^x)dx &=\left[\frac{2x^2}{2}-e^x\right]_{-1}^{0} \\[2ex] &= [0^{2}-e^{0}]-[(-1)^2-e^{-1}] \\[2ex] &=-1-\left(1-\frac{1}{e}\right) \\[2ex] &=\frac{1}{e}-2 \end{align} }