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7.2 definite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.2 definite integral1 Mark
MCQ
$\int_{\, - 2}^{\,2} {|x|\,dx = } $
  • A
    $0$
  • B
    $1$
  • C
    $2 $
  • ✓
    $4$
✓

Answer

Correct option: D.
$4$
d
(d) $I = \int_{ - 2}^2 {|x|dx} $$ = - \int_{ - 2}^0 {x\,dx + \int_0^2 {x\,dx} } $

$ = - \left[ {\frac{{{x^2}}}{2}} \right]_{ - 2}^0 + \left[ {\frac{{{x^2}}}{2}} \right]_0^2$ 

$ = - ( - 2) + (2) = 4$.

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