Express 5/[(x-1)(3x+2)] as partial fractions.

5 = a(3x+2) + b(x-1), x = 1, 5 = a(3+2) +b (1-1), 5 = a(5) + b(0), 5 = 5a, a = 1, x = -2/3, 5 = a(-2+2) + b(-(2/3)-1), 5 = a(0) + b(-5/3), 5 = -5b/3, b = -3, Therefore: 5/[(x-1)(3x+2)] = 1/(x-1) -3/(3x+2)

AP

Related Maths A Level answers

All answers ▸

what is the equation of the normal line to the curve y=x^2-4x+3 at the point (5,8)?


Using the identity cos(A+B)= cosAcosB-sinAsinB, prove that cos2A=1-2sin^2A.


Determine whether the line with equation 2x+ 3y + 4 = 0 is parallel to the line through the points with coordinates (9, 4) and (3, 8).


Use the substitution u=cos(2x)to find ∫(cos(2x))^2 (sin(2x))^3dx