MCQ
$\int_0^{\pi /2} {\left| {\,\sin \left( {x - \frac{\pi }{4}} \right)\,} \right|\,dx} =$
- A$2 + \sqrt 2 $
- ✓$2 - \sqrt 2 $
- C$ - 2 + \sqrt 2 $
- D$0$
$x - \frac{\pi }{4}$ is $-ve$ when $x \le \frac{\pi }{4}$
and $+ve$ when $x > \frac{\pi }{4}$
$ = - \int_0^{\pi /4} {\sin \left( {x - \frac{\pi }{4}} \right)dx + \int_{\pi /4}^{\pi /2} {\sin \left( {x - \frac{\pi }{4}} \right)dx} } $
$ = 2 - \sqrt 2 $.
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