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 ▸If n is an integer such that n>1 and f(x)=(sin(n*x))^n, what is f'(x)?
Solve the equation 2log (base 3)(x) - log (base 3)(x+4) = 2
Find dy/dx in terms of t for the curve given by the parametric equations x = tan(t) , y = sec(t) for -pi/2<t<pi/2.
A school has 1200 pupils. 575 of these pupils are girls. 2/5 of the girls like sports. 3/5 of the boys like sport. Work out the total number of pupils in the school who like sport.