Integrate 2x/[(x+1)(2x-4)

2x/[(x+1)(2x-4)] = [A/(x+1) + B/(2x-4)]x = A(x-2) + B(x+1)x = -1-1 = A(-3)A = 1/3x = 2 2 = B(3)B = 2/3 therefore.... 2x/[(x+1)(2x-4)] = [(1/3)/(x+1) + (2/3)/(x-2)]Using the identification method of integration....Integral of 2x/[(x+1)(2x-4)] = (1/3)ln(x+1) + (2/3)ln(x-2)

LA

Related Maths A Level answers

All answers ▸

A curve has equation x^2 + 2xy – 3y^2 + 16 = 0. Find the coordinates of the points on the curve where dy/dx =0


How do you integrate 3x^2 - 6x + 5 (wrt x)?


How do I integrate ∫ xcos^2(x) dx ?


Integrate the function f(x) where f(x)= x^2 +sin(x) + sin^2(x)