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 ▸Find the area beneath the curve with equation f(x) = 3x^2 - 2x + 2 when a = 0 and b = 2
How to differentiate y=2x(x-2)^5 to find dy/dx?
Differentiate y = 15x^3 + 24x^2 + 6 with respect to x.
The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.