Partial fractions and derivative matching

Find the following integrals:

(a) $\displaystyle\int \dfrac{x}{x^2-2x-3}\,dx$

(b) $\displaystyle\int \dfrac1{y^2(y-2)}\,dy$

(c) $\displaystyle\int \dfrac1{(x^2+x+1)(x-2)}\,dx$

(d) $\displaystyle\int \dfrac{16x+5}{4x^2+2x+1}\,dx$

(e) $\displaystyle\int \dfrac{4+s}{2s^2+2s+3}\,ds$

(f) $\displaystyle\int \dfrac{2x-1}{x^2+4x+5}\,dx$.