# Calculus problem #2195

Calculus Level 2

What is the value of $\displaystyle \int_{0}^{\pi} |\sin 2x|\ dx$?

Details and assumptions

The notation $| \cdot |$ denotes the absolute value. The function is given by $|x | = \begin{cases} x & x \geq 0 \\ -x & x < 0 \\ \end{cases}$ For example, $|3| = 3, |-2| = 2$.

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