5.4 Indefinite Integrals and the Net Change Theorem/29

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_{-2}^{-1}\left(4y^3+\frac{2}{y^3}\right)dy &= \int_{-2}^{-1}\left(4y^3+2y^{-3}\right)dy\\[2ex] &= \left[y^{4}-y^{-2}\right]_{-2}^{-1} \\[2ex] &= (1-1)-\left(16-\frac{1}{4}\right) \\[2ex] &= -\frac{63}{4} \end{align} }