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 ▸

Differentiate the function y = 26 + x - 4x³ -½x^(-4)


For which values of x is the following inequality satsified: x^2 + 6x + 6 < 1


For rectangles of area 100 m^2 what is the perimeter of the rectangle with the smallest perimeter?


The curve C has equation y = 3x^4 – 8x^3 – 3. Find dy/dx.