JEE Main 2023MathematicsArea Under CurvesMediumNumerical

JEE Main 2023 — Area Under Curves Question with Solution

JEE Main 2023 (01 Feb Shift 1)

Question

Let A be the area bounded by the curve y=xx-3, the x-axis and the ordinates x=-1 and x=2. Then 12 A is equal to _____ .

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Show full solutionCorrect answer: 62
Correct answer
62

Step-by-step explanation

Plotting the y=xx-3 and x-axis between x=-1 and x=2 we get,

Now area of the above region is given by A=∫-103x-x2dx+∫023x-x2dx

⇒A=3×x22-x33-10+3×x22-x3302

⇒A=116+103=11+206=316

Hence, the value of 12A=62

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About this question

This is a previous-year question from JEE Main 2023, covering the Area Under Curves chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.