Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202014 Oct 2020Morning ShiftMathematicsArea Under CurvesActual

The area of the region bounded by the curve y= x, x -axis and the lines x=1, x=e is

Options

  1. A1 e Sq. Units
  2. B1 Sq. Units
  3. C4 sq. Units
  4. D1 2 Sq. Units

Correct answer

B. 1 Sq. Units

Step-by-step solution

Required area is shaded. aligned A &= ₁^ e x dx = ₁^ e ( x )(1) dx &=[ x ( x )]₁^ e - ₁^ e 1 x x dx &=[ e ( e )-0]-[ x ]₁^ e = e -( e -1)=1 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