Tutorial Exercise Evaluate the integral. 50 dx (x - 1)(x2 + 49) Step 1 50 To find (x - 1) (x2 + 49) dx, we'll find a partial fraction decomposition of the integrand. 50 A BX + C (x - 1)(x2+49) - x - 1 0 x 2 + 49 V 49 Step 2 Combining the fractions, we get C + D X - I BX + C_(A + B)x2 + (C -B)x + ( 49A - C *2 + 49 X (x - 1)(x2 + 49) Step 3 Since the original numerator is 50, then we must have A + B = 0 PO , C - B =Q V po , and 49A - C = 50 50 Step 4 Since C - B = 0, then C = B, and we have the two equations A + C =0 49A - C = Solving these equations we can find that A = , B = , and C = Submit Skip (you cannot come back)