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7.2 definite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.2 definite integral1 Mark
MCQ
$\int_{\,1}^{\,3} {(x - 1)(x - 2)(x - 3)dx = } $
  • A
    $3$
  • B
    $2$
  • C
    $1$
  • ✓
    $0$
✓

Answer

Correct option: D.
$0$
d
(d) $I = \int_{\,1}^{\,3} {(x - 1)(x - 2)(x - 3)dx} $.

$I = \int_{\,1}^{\,3} {({x^3} - 6{x^2} + 11x - 6)\,dx = \left[ {\frac{{{x^4}}}{4} - \frac{{6{x^3}}}{3} + \frac{{11{x^2}}}{2} - 6x} \right]_{\,1}^{\,3} = 0.} $

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