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STD 12 - 7.2 definite integral — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 7.2 definite integral4 Marks
MCQ
$\int_0^{\pi /2} {\,\,\,\,\,|\sin x - \cos x|\,dx = } $
  • A
    $0$
  • ✓
    $2(\sqrt 2 - 1)$
  • C
    $\sqrt 2 - 1$
  • D
    $2(\sqrt 2 + 1)$
✓

Answer

Correct option: B.
$2(\sqrt 2 - 1)$
b
(b) $\int_0^{\pi /2} {\,\,\,\,|\sin x - \cos x|dx} $

$ = \int_0^{\pi /4} { - (\sin x - \cos x} )dx + \int_{\pi /4}^{\pi /2} {\,(\sin x - \cos x)dx} $

$= 2(\sqrt 2 - 1)$.

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