Using the partial fractions technique, the function f(x) 38x+57 x2+x-90 , can be written as a sum of partial fractions %3D 38x+57 21 17 x) = x2+x-90 X-9 x + 10 Therefore, the integral of the function f(x) is x) dx = 21 In x-9 +17 In x+ 10 +C.