Explain why the value of equals the total area enclosed by the graph of and the -axis…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Explain why the value of

\displaystyle\int_{0}^{2\pi}|\sin x|\,dx

equals the total area enclosed by the graph of

y=\sin x

and the

x

-axis on the interval

0\le x\le 2\pi