Plotting the y=x∣x−3∣ and x−axis between x=−1 and x=2 we get,
Now area of the above region is given by A=∣∫−10(3x−x2)dx∣+∫02(3x−x2)dx
⇒A=∣[3×2x2−3x3]−10∣+[3×2x2−3x3]02
⇒A=611+310=611+20=631
Hence, the value of 12A=62
JEE Main 2023 — Mathematics Calculus
Let A be the area bounded by the curve y=x∣x−3∣, the x-axis and the ordinates x=−1 and x=2. Then 12A is equal to _____ .
Held on 1 Feb 2023 · Verified 6 Jul 2026.
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