Question

# The total area bounded by the graph of the function y=f(x) and the x-axis from x=a to x=b is the area below the graph of y=|f(x)| from x=a to x=b. Find the total area bounded by the graph of f(x)=sin x and the x-axis from x=0 to x =2π

Solution

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For this activity, we will use a graphing calculator. We need to find the area bounded by $f(x)=|\sin x|$ and the $x$-axis from $x=0$ to $x=2\pi$.

On a TI-83 Plus calculator (which I used), press $\textbf{MATH}$ then select $\textbf{fnInt(}$. Enter the function, the variable, the lower limit, and the upper limit of the integral. The numerical integral of the function (and the required area) is:

$\color{#c34632}=4$

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