JEE Main 2019MathematicsArea Under CurvesMediumMCQ

JEE Main 2019 — Area Under Curves Question with Solution

JEE Main 2019 (12 Jan Shift 1)

Question

The area (in sq. units) of the region bounded by the parabola, y=x2+2 and the lines, y=x+1, x=0 and x=3, is

Choose an option

Show full solutionCorrect option: C
Correct answer
C152

Step-by-step explanation

Area of region ABCDA=∫03x2+2-x+1dx

=∫03x2-x+1dx=x33-x22+x03

=273-92+3

=12-92=152

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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.