Calculus problem #2195

Calculus Level 2

What is the value of 0πsin2x dx\displaystyle \int_{0}^{\pi} |\sin 2x|\ dx?

Details and assumptions

The notation | \cdot | denotes the absolute value. The function is given by x={xx0xx<0 |x | = \begin{cases} x & x \geq 0 \\ -x & x < 0 \\ \end{cases} For example, 3=3,2=2 |3| = 3, |-2| = 2 .

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