Partial Fractions

Question 1

What is ∫1/x ?

Answer 1

ln IxI

Question 2

What is ∫2 / 2x + 1 ?

Answer 2

2ln(2x+1) / 2

Question 3

How do you write out an O2 over an O2?
eg x^2 + 2x + 8 / (2x+1) (x-1)

Answer 3

≡ A + B/(2x+1) + C/(x-1)

Question 4

How would you write out an O3 over an O2?

Answer 4

≡ Ax + B + C/(n+1) + d(n+4)

Question 5

How would you write x+1 / (x-2)^2 as a partial fraction?

Answer 5

≡ A/(x-2) + B(x-2)^2