15

Part of 2015 BMT Spring

Problems(2)

2015 BMT Team 15 integral

Source:

\int_{1/2}^{2} \frac{x^2 + 1}{x^2(x^{2015} + 1)} dx.

calculusintegration

BMT 2015 Spring - Individual 15

Source:

Recall that an icosahedron is a

3

-dimensional solid characterized by its

20

congruent faces, each of which is an equilateral triangle. Determine the number of rigid rotations that preserve the symmetry of the icosahedron. (Each vertex moves to the location of another vertex.)