partial fractions

Question 1

2 / (x+1)(x+2) in partial fractions

Answer 1

a/(x+1) + b/(x+2)

Question 2

2x + 1 / (x²+1)(x+2) in partial fractions

Answer 2

ax+b/(x²+1) + c/(x+2)

Question 3

2x + 1 / (x+1)²(x+2) in partial fractions

Answer 3

a/(x+1) + b/(x²+1) + c/(x+2)

Question 4

integrating partial fraction e.g 2 / (x+1)(x+2)

Answer 4

∫a/(x+1) + ∫b/(x+2)