MathDB
Today's calculation of Integral 393

Source: created by kunny

November 21, 2008
calculusintegrationtrigonometryinequalitiescalculus computations

Problem Statement

Let V(a) V(a) be the volume of the solid obtained by revolvong the region bounded by the curve y \equal{} x\sqrt {x\sin ax}\ (0\leq x\leq \frac {\pi}{a}) and x x axis around the x x axis. For a>0 a > 0, find the minimum value of V(a) \plus{} V\left(\frac{1}{a}\right).
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