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7.2 definite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.2 definite integral1 Mark
MCQ
$\int_{\,0}^{\,2\pi } {(\sin x + |\sin x|)\,dx = } $
  • A
    $0$
  • ✓
    $4$
  • C
    $8$
  • D
    $1$
✓

Answer

Correct option: B.
$4$
b
(b) $\int_0^\pi {2\sin x\,dx + \int_\pi ^{2\pi } {0.\,dx} } $

$ = 2\,[ - \cos x]_0^\pi + 0$

$ = - 2\,(\cos \pi - \cos 0)$

$ = - 2\,( - 1 - 1) = 4$.

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