The area of the region bounded by the lines y = 2x, y = x/2 and x = 2 is: A. 3 sq units B. 2 sq units C. 1 sq unit D. 4 sq units Answer: A) 3 sq units Explanation: Area = ∫[0 to 2] (2x − x/2) dx = ∫[0 to 2] (3x/2) dx = (3/2)[x²/2]₀² = (3/2)×2 = 3 sq units.

imo class 12 application of integrals

The area of the region bounded by the lines y = 2x, y = x/2 and x = 2 is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The area of the region bounded by the lines y = 2x, y = x/2 and x = 2 is:

Answer: A) 3 sq units

Explanation: Area = ∫[0 to 2] (2x − x/2) dx = ∫[0 to 2] (3x/2) dx = (3/2)[x²/2]₀² = (3/2)×2 = 3 sq units.