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CUET
-- Mathematics - Section B1
Definite Integration
The value of $\int\limits_0^3|2 x-6| dx$ is:
$-\frac{9}{4}$
$\frac{19}{2}$
9
-3
The correct answer is Option (3) → 9
$\int\limits_0^3|x-3|dx$
since from 0 → 3, x ⇒ 3
$⇒I=2\int\limits_0^33-xdx$
$=2\left[3x-\frac{x^2}{2}\right]_0^3$ ⇒ 9 units