Question

calculate the integral x/[(x-a)(x-b)] when a does not equal b

Answer 1

use partial fraction to break this one into 2 fractions.....integrate each fractional part separately....
x/[(x-a)(x-b)] = A/(x-a) + B/(x-b).....first find A and B, by comparison method....
Then integrate A/(x-a) and B/(x-b).....