Evaluate the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}se{c}^{5}4xtan4xdx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}se{c}^{5}4xtan4xdx=$

Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations.

$x^2+y^2+z^2=16,z=0$

Choose the correct choice below.

A$.$ The circle $x^2+y^2=16$ in the $xy-$plane.

B$.$ The circle $x^2+y^2=16,z=0,$ together with its interior.

C$.$ The solid lower hemisphere cut from the sphere $x^2+y^2+z^2=16$ by the $xy-$plane $($the plane $z=0)$; the hemisphere has radius $4$ and is centered at $(0,0,0).$

D$.$ The hollow lower hemisphere cut from the sphere $x^2+y^2+z^2=16$ by the $xy-$plane $($the plane $z=0)$; the hemisphere has radius $4$ and is centered at $(0,0,0).$