Find the area of the region bounded by the curve y² = 8x and the line x = 2. A. 32/3 B. 16/3 C. 8/3 D. 64/3 Answer: A) 32/3 Explanation: Area = 2 × ∫(0 to 2) 2√2 √x dx = 4√2 [2/3 x^(3/2)] from 0 to 2 = 4√2 × (2/3) × 2√2 = 32/3 sq units.

imo class 12 application of integrals

Find the area of the region bounded by the curve y² = 8x and the line x = 2.

VAVidaara Admin Asked 6d ago 0 views 0 answers

Find the area of the region bounded by the curve y² = 8x and the line x = 2.

Answer: A) 32/3

Explanation: Area = 2 × ∫(0 to 2) 2√2 √x dx = 4√2 [2/3 x^(3/2)] from 0 to 2 = 4√2 × (2/3) × 2√2 = 32/3 sq units.