Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20239 May 2023Evening ShiftMathematicsArea Under CurvesActual

The area (in s q . units) bounded by the curve y=x|x|, X -axis and the lines x=-1 and x=1 is

Options

  1. A2 3
  2. B1 3
  3. C1
  4. D4 3

Correct answer

A. 2 3

Step-by-step solution

y=x|x| ...[Given] Required area aligned & = _ -1 ^1 x|x| d x & =2 ₀^1 x^2 ~d x [ Area is always positive ] & =2 [ x^3 3 ]₀^1 & =2 ( 1 3 -0 )= 2 3 sq.units aligned

Practice Area Under Curves on Quantrex Academy →

More from Area Under Curves

Find the area bounded by the curve y = |2 - x| , the x –axis, and the lines x = 0 and x = 5 2026The area enclosed by the curve y = -x^2 and the line x + y + 2 = 0 is 2026The area of the region bounded by the line y = x + 2 and the curve x = -y^2 is 2026The area of the region in the first quadrant enclosed by the x -axis, the line x = 3 ,y and the circle x^2 + y^2 = 4 is 2026The area of the region bounded by the curve y^2 = x^3 , the y -axis and the lines y = 1 and y = 8 is 2026The area enclosed by the curve x = 3 , y = 3 is 2026The area in square units of the region bounded by the curve y = 16 - x^2 and lines x = 0, x = 4 above the X-axis is 2026The area bounded by the curves y = |x| - 1 and y = -|x| + 1 is 2026 Full Area Under Curves list All MHT CET PYQs