Integration of form 1/Q, 1/√Q

Show that any positive odd integer is of the form 4q+1 or 4q+3, where q is some integer.

Show that any positive odd integer is of the form 4q+1 or 4q+3, where q is some integer.

Show that every positive even integer is of the form 2q and every positive odd integer is of the form 2q +1 for some integer q.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1, where q is some integer.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1, where q is some integer.

Show that any positive odd integer is of the form 6q+1 or,6q+3 or ,6q+5, where q is some integer.

Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5, where q is some integer

Integral of form (a sin x+b cos x+c)/(p cosx+q sin x+r)