Evaluate the indefinite integral integrate of (2t^2-t+1)/(t(t^2+25))dt

First
write the expression as a partial sum

`(2t^2 -t +1)/(t(t^2+25)) = A/t + (Bt +
C)/(t^2 +25)`

`implies A(t^2 + 25) + Bt^2 + Ct = 2t^2 -t +1`

Comparing...