The area included between the parabolas y² = 4x and x² = 4y isपरवलयों y² = 4x तथा x² = 4y से अन्तरित क्षेत्रफल है

Explanation

The parabolas meet at (0, 0) and (4, 4). Area = ∫₀⁴ (2√x − x²/4) dx = [(4/3)x^(3/2) − x³/12]₀⁴ = 32/3 − 16/3 = 16/3.परवलय (0, 0) और (4, 4) पर मिलते हैं। क्षेत्रफल = ∫₀⁴ (2√x − x²/4) dx = [(4/3)x^(3/2) − x³/12]₀⁴ = 32/3 − 16/3 = 16/3।