Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2011MathematicsArea Under Curves

The area of figure bounded by y=e^x, y=e^ -x and the straight line x=1 is

Options

  1. A(e+ 1 e ) sq unit
  2. B(e- 1 e ) sq unit
  3. C(e+ 1 e -2 ) sq unit
  4. D(e+ 1 e +2 ) sq unit

Correct answer

C. (e+ 1 e -2 ) sq unit

Step-by-step solution

Required area = ₀^1 (e^x-e^ -x ) d x= [e^x+e^ -x ]₀^1 = (e+ 1 e -2 ) sq unit

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 Manipal MET PYQs