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junior college 2 | H2 Maths
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Volume = 2π ∫(lower bound 0, upper bound √π) ph dx ,
where p is average radius and h is average height
Volume = 2π ∫ xsin(x²) dx
= 2π(-½) ∫ -2xsin(x²) dx
= -π [cos(x²)]
= -π [cos (√π)² - cos 0²]
= -π [cos π - cos 0]
= -π [ -1 - 1]
= 2π
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