Find The Area Of The Surface Generated By Revolving The Curve Y = X^3/4, 0
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Home › Mathematics › Find The Area Of The Surface Generated By Revolving The Curve Y = X^3/4, 0
Find The Area Of The Surface Generated By Revolving The Curve Y = X^3/4, 0
Find The Area Of The Surface Generated By Revolving The Curve Y = X^3/4, 0
A = 2π ∫ y √(1 + (dy/dx)²) dx
= π/2 ∫ x³ √(1 + (3x²/4)²) dx [0,1]
= 2π/9 ∫ √u du [1,25/16]
= 4π/27 u√u .... from 1 to 25/16
= 61π/432
Answer: 61π/432 units²
-Anonymous
= π/2 ∫ x³ √(1 + (3x²/4)²) dx [0,1]
= 2π/9 ∫ √u du [1,25/16]
= 4π/27 u√u .... from 1 to 25/16
= 61π/432
Answer: 61π/432 units²
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