Exercise 1
\[ \int t^4 \, \mathrm{d}t = \frac{1}{5} t^5 + C \] \[ \int \cos t \, \mathrm{d}t = \sin t + C \] \[ \int t^2 -2 \, \mathrm{d}t = \int t^2 \, \mathrm{d}t - \int 2 \, \mathrm{d}t = \frac{1}{3} t^3 - 2t + C \]
\[ \int t^4 \, \mathrm{d}t = \frac{1}{5} t^5 + C \] \[ \int \cos t \, \mathrm{d}t = \sin t + C \] \[ \int t^2 -2 \, \mathrm{d}t = \int t^2 \, \mathrm{d}t - \int 2 \, \mathrm{d}t = \frac{1}{3} t^3 - 2t + C \]