For each of the following problems, first sketch the relevant area, then write out the definite integral that will give its exact value

The area bounded by:

$y=2^x,y=8$ and the $y-$axis

Area between $2$ curves

Let $f$ and $g$ be continuous functions and suppose that $f(x)g(x)$ over the interval $a,b.$ Then the area of the region between the two curves, from $x=a$ to $x=b,$ is

${\displaystyle \underset{a}{\overset{b}{}}}[f(x)-g(x)]dx.$

Please give step by step on how youve found the answer. Thank you.