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} $.
(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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