3. Let arctan(x) I = dx. o x (a) Find the Taylor polynomial of order 2, P2(x), about x = 0 for the function arctan(x). (b) Use Lagrange's formula for the remainder R2(x) = arctan(x) - P2(x) to show that arctan(x) P 2 (2 ) dx o 0 (c) Hence calculate I with an error up to