Verified Solution • 2025–26 Session moderate

QJEEM19Ma03fc: JEE Main 2019 Mathematics - Class 12 JEEM19Ma03fc Solution: The area (in sq. units) of the region bounded by the parabola,…

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

Multiple Choice Options

  • A 154{{15} \over 4}
  • B 152{{15} \over 2}
  • C 212{{21} \over 2}
  • D 174{{17} \over 4}

Step-by-Step Verified Solution

JEE Main 2019 (Online) 12th January Morning Slot Mathematics - Area Under The Curves Question 116 English Explanation

Required area

=∫03(x2+2)dx−12.5.3=9+6−152= \int\limits_0^3 {\left( {{x^2} + 2} \right)dx - {1 \over 2}.5.3 = 9 + 6 - {{15} \over 2}} {}

=152= {{15} \over 2}

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring