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 y = x^2 - 2x-3 + e^3x + 2ln(x)


Prove that the equation y = 3x^4 - 8x^3 - 3 has a turning point at x=2


Find the area enclosed by the curve y = cos(x) * e^x and the x-axis on the interval (-pi/2, pi/2)


You are given the equation y=x^2. Determine whether or not the equation has any maximums or minimums and identify them (whether they are maximums or minimums).