The area bounded by the curve y = √x, x = 0, x = 4 and y = 0 is: A. 16/3 sq units B. 8/3 sq units C. 4 sq units D. 8 sq units Answer: A) 16/3 sq units Explanation: Area = ∫[0 to 4] √x dx = ∫[0 to 4] x^(1/2) dx = [x^(3/2) / (3/2)]₀⁴ = (2/3) × 4^(3/2) = (2/3) × 8 = 16/3 sq units.

imo class 12 application of integrals

The area bounded by the curve y = √x, x = 0, x = 4 and y = 0 is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The area bounded by the curve y = √x, x = 0, x = 4 and y = 0 is:

Answer: A) 16/3 sq units

Explanation: Area = ∫[0 to 4] √x dx = ∫[0 to 4] x^(1/2) dx = [x^(3/2) / (3/2)]₀⁴ = (2/3) × 4^(3/2) = (2/3) × 8 = 16/3 sq units.