In: Math
Calculate the integrals given below using partial fractions:
a) [int] 1/(x^2 - a^2) dx a is a fixed positive real number
b) [int] 1/(x^4 - 1) dx
c) [int] 1/(x^2 + x) dx
d) [int] 1/(x^2 - 4x - 5) dx
e) [int] 1/(x^2 - 3x - 5) dx
f) [int] exp(x) / (exp(4x) - 5exp(2x) + 4) dx