Calculus Area Practice Problem

Find the area between the two curves $y = x^4 - 2x^2$ and $y = 2x^2$

Find the area between the curves $y = x$ and $y = x^2$

Compute the area between $y = \sin{x}$ and $y = \cos{x}$ and the interval $[\frac{\pi}{4}, \frac{5\pi}{4}]$

Compute the area of the region bounded by the curves $y = x^3$ and $y = 3x - 2$