MathDB
Today's calculation of Integral 667

Source:

January 12, 2011
calculusintegrationgeometrygeometric transformationrotationtrigonometrylogarithms

Problem Statement

Let a>1, 0≤x≤π4a>1,\ 0\leq x\leq \frac{\pi}{4}. Find the volume of the solid generated by a rotation of the part bounded by two curves y=2sin⁡xsin⁡2x+a, y=1sin⁡2x+ay=\frac{\sqrt{2}\sin x}{\sqrt{\sin 2x+a}},\ y=\frac{1}{\sqrt{\sin 2x+a}} about the xx-axis.
1993 Hiroshima Un iversity entrance exam/Science
Back to ProblemsView on AoPS