How did he solve this integral?

Question

i don't understand how $(sin (t) + | sin (t) |) = (sin (t) - sin (t))$ $(sin(t)+ abssin(t))=(sin(t)-sin(t))$

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Answer 1 · 2018-03-27T12:17:23

See below.

Think that

$sin t + | sin t | = 0$ $sint+abs(sint) = 0$ for $t \in [π, 2 π]$ $t in [pi, 2pi]$