volume using integral calculus

volume using integral calculus
Volume of the solid obtained by revolving the shaded region about the x-axis is

solved problems on finding volume of solid of revolution using integration

volume of the solid obtained by revolving the ellipse ( x² / a²) + ( y² / b²) = 1 about the x axis


volume of the solid obtained by revolving the cardioid r = a(1 + cosθ ) about the initial line

volume of the spindle shaped solid obtained by revolving the
hypocycloid x^(2/3) + y^(2/3) =a^(2/3) about the x axis.

proving a trigonometry identity

show that [( tanx -sinx ) / (2tanx) ] = sin² (x/2)
divide term by term and change
every thing in terms of sinx and cosx and
then use half angle formulae
use this link for trigonometric identities formulae
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index of math problems

trigonometric identities

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