We wish to compute 3 2 2 / ids: ' 1 1:3 + 3:17 :03 +31: = a:(a:2 + 3) (i) We begin by noting that 2 where a: + 3 is a polynomial of degree two with no real roots. We can thus write 2m+2 A Bz+C =_+ m3 + 33 m m2 + 3 Give the exact values of A, B and C. A = Number , B = Number and C = Number (ii) Finally, we use this partial fraction decomposition to compute the integral. Give its approximate value to 3 decimal places. 3 2 2 f Lmum Number 1 m3 +3m