Guidorizzi Vol 1 Seção 12.5 - Primitiva de Funções Racionais do Tipo $$\int \dfrac{P(x)}{(x-\alpha)(x-\beta)}dx$$

Calcule:

1) $$\int \dfrac{1}{x^2-4}dx$$
2) $$\int \dfrac{x}{x^2-5x+6}dx$$
3) $$\int \dfrac{x}{x^2-4}dx$$
4) $$\int \dfrac{2x+1}{x^2-1}dx$$
5) $$\int \dfrac{5x^2+1}{x-1}dx$$
7) $$\int \dfrac{x^2+3x+1}{x^2-2x-3}dx$$
8) $$\int \dfrac{x^2+1}{(x-2)^3}dx$$
9) $$\int \dfrac{x+3}{x^2-x}dx$$
10) $$\int \dfrac{x^2+x+1}{x^2-x}dx$$
11) $$\int \dfrac{x^3+x+1}{x^2-2x+1}dx$$
12) $$\int \dfrac{x^3+x+1}{x^2-4x+3}dx$$
13) $$\int \dfrac{1}{x^2+5}dx$$
14) $$\int \dfrac{x+1}{x^2+9}dx$$
15) $$\int \dfrac{x^2+3}{x^2-9}dx$$
16) $$\int \dfrac{1}{x^2-x-2}dx$$
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