MATH 4041 Lecture 12: Convexity

Evaluate the following, where C is the boundary of the square with vertices (0, 0), (3, 0), (0, 3), and (3, 3), oriented clockwise. Use whatever method of evaluation seems appropriate. 207

Q20. Use Eisenstein's Criterion (section 207) to prove that for any n > 3, the polynomial - 3r2 21 is irreducible in Q[r]