Integration by Partial fraction

Expression (x+5)/((x-2)^(2)) has repeated (twice) linear factors in denominator, so find partial fractions.

The number of partial fractions of (2)/(x^(4)+x^(2)+1) is

Resolve the following into partial fractions. (x^(3))/((x-1)(x+2))

Resolve the following into partial fractions. (x^(2))/ ((x-1)(x-2))

Resolve the following into partial fractions. 9/((x-1)(x+2)^(2))

The number of partial fractions of (x^(3)-3x^(2)+3x)/((x-1)^(5)) is

Resolve the following into partial fractions. (3x^(2)-8x+ 10)/((x-1)^(4))

Resolve the following into partial fractions. (x+4)/((x^(2)-4)(x+1))

Resolve the following into partial fractions. (x^(2)+5x+7)/((x-3)^(3))

Resolve the following into partial fractions. (x^(2)-2x+6)/((x-2)^(3))