ESE 2026Q70
Q: What is the value of ∫ (from x = 0 to a) ∫ (from y = 0 to √(a² − y²)) y² √(x² + y²) dy dx by changing into polar coordinates?
(a)πa³ ⁄ 20
(b)3πa⁵ ⁄ 20
(c)3πa³ ⁄ 20
(d)πa⁵ ⁄ 20
Answer pending verification
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Q: What is the value of ∫ (from x = 0 to a) ∫ (from y = 0 to √(a² − y²)) y² √(x² + y²) dy dx by changing into polar coordinates?