
Complete and Balanced Chemical Equations
(1) Thermal Decomposition of Potassium Permanganate: \[ 2KMnO_4 \xrightarrow{\text{heat}} K_2MnO_4 + MnO_2 + O_2 \] (2) Dichromate-Iodide Reaction: \[ Cr_2O_7^{2-} + 6I^- + 14H^+ \rightarrow 2Cr^{3+} + 3I_2 + 7H_2O \]

Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.