Express 1/(x(1-3x)) in partial fractions.

1/(x(1-3x))= A/x+ B/(1-3x) 1= A(1-3x) + B(1-3x)

when x=0    1=A

when x= 1/3     1=B/3 so B=3

1/(x(1-3x))= 1/x + 3/(1-3x)

LB

Related Maths A Level answers

All answers ▸

f(x) = x^3 + 3x^2 + 5. Find f'(x) and f''(x).


How do I solve a cubic?


Find minimum and maximum of x^2+1 if they exist


find the integral of ((3x-2)/(6x^2-8x+3)) with respect to x between x=2 and x=1. (hint use substitution u=denominator)