JEE Main 2019MathematicsArea Under CurvesEasyMCQ

JEE Main 2019 — Area Under Curves Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

The area of the region A={x, y: 0≤y≤xx+1 and -1≤x≤1} in sq. units, is

Choose an option

Show full solutionCorrect option: B
Correct answer
B2

Step-by-step explanation

xx=x2, x≥0-x2, x<0

 



Area enclosed =∫-10-x2+1dx+∫01x2+1dx

=-x33+x-10+x33+x01

=2

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About this question

This is a previous-year question from JEE Main 2019, 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.