We wish to compute (i) We begin by noting that x 2 3x+1 x3 + 8x x3 + 8x +8x = x(x + 8) where a +8 is a polynomial of degree two with no real roots. We can thus write dx . 3x + 1 A x + 8x x 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. 2 3x+1 -da Number + Bx + C x +8