The area bounded by the curve y=(x-1)(x-2)(x-3), x-axis and ordinates x=0, x=3 is :
The area bounded by the curve y=(x-1)(x-2)(x-3), x-axis and ordinates x=0, x=3 is :
Option 1 -
9/4
Option 2 -
11/4
Option 3 -
11/2
Option 4 -
None of these
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1 Answer
-
Correct Option - 2
Detailed Solution:∫ (from 0 to 3) (x-1) (x-2) (x-3) dx = ∫ (from 0 to 3) (x³ - 6x² + 11x - 6) dx
A = ∫ (from 0 to 1) (x³ - 6x² + 11x - 6) dx - ∫ (from 1 to 2) (x³ - 6x² + 11x - 6) dx + ∫ (from 2 to 3) (x³ - 6x² + 11x - 6) dx
A = 11/4
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