NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice
The area (in sq. units) bounded by the curve y = m a x x , sin ⁡ x ,   ∀ x ∈ 0,2 π is
Options
- Aπ 2
- B2 π 2
- C2
- D4
Correct answer
B. 2 π 2
Step-by-step solution
As s i n x < x ,   ∀ x ∈ 0,2 π ⇒ Required area = ∫ 0 2 π x ⋅ d x = x 2 2 0 2 π = 4 π 2 2 = 2 π 2 sq. units