Q39 / 90 · NTA Abhyas (JEE Main) 2020 · Mathematics · Area Under Curves

The area bounded by the graph y=x- 3, above the x-axis from x=-2 to x=3 is (. denotes the greatest integer function)

  • A
    7 sq. units
  • Correct answer
    B
    15 sq. units
  • C
    21 sq. units
  • D
    28 sq. units

Solution

∴  Required area

=∫-23x- 3dx

=∫-2-1x- 3dx + ∫-10x- 3dx

+ ∫01x- 3dx + ∫12x- 3dx + ∫23x- 3dx

=∫-2-15dx + ∫-104. dx + ∫013.dx + ∫122.dx+ ∫231.dx

=51 + 41 + 31 + 21 +11

=15 sq. units .

Hence, the correct answer is option: 'B'.

More Area Under Curves Questions