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 ▸How do I differentiate f(x) = cos(x)/x?
How many people in a room is required such that the probability of any two people sharing a birthday is over 50 percent?
Let f(x)=x^3 - 2x^2 + 5. For which value(s) of x does f(x)=5?
A curve, C, has equation y =(2x-3)^5. A point, P, lies on C at (w,-32). Find the value of w and the equation of the tangent of C at point, P in the form y =mx+c.