Project ForgeEngineering Mathematics
Calculus
GATE 2012
Easy
The area enclosed between the straight line y=x and the parabola y=x² in the x-y plane is
- 1/6
- B1/4
- C1/3
- D1/2
Explanation
The curves intersect at x=0 and x=1. For 0≤x≤1, the line y=x lies above the parabola y=x². Area = ∫₀¹(x−x²)dx = [x²/2 − x³/3]₀¹ = 1/2−1/3 = 1/6.
Source: GATE ME 2012 (Booklet Code A) (2012)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.