Answer
See explanation for details.
Work Step by Step
Determine the zeros of $f(x)-g(x)$ on $[a, b]$ (These are the intersections of the two graphs).
Determine between each pair of consecutive zeros/borders if $f(x)>$ $g(x)$ or $g(x)>f(x)$
Write integral between for each interval from step 2: $\int_{\text {valuel}}^{\text {raluc} 2}(f(x)-$ $g(x)) d x$ if $f(x)>g(x)$ and $\int_{\text {value } 1}^{\text {ral }}(g(x)-f(x)) d x$ if $g(x)>f(x)$
Step 4 The area will be equal to the sum of all integrals from step 3 .
Step 5 Determine the area by evaluating the integrals.
