calculus

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Rotate the region enclosed by the given functions around the x-axis. Determine the volume.
y=sqrt(sinx) ; y=0 ; x=0 ;x=pi

limits are 0 to pi

  • calculus -

    vol = π∫y^2 dx from x=0 to π
    = π∫sinx dx from 0 to π
    = π [-cosx] from 0 to π
    = π (-cosπ - (-cos0) )
    = π (1 + 1)
    = 2π

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