Average Value Integral

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 $[\frac{\pi}{4}, \frac{5\pi}{4}]$

What is the average value of the function $f(x) = 3x^2 - 2x$ on $[1, 4]$

Find the average value of the function $h(x) = \cos^4{(x)}\sin(x)$ on $[0, \pi]$