Express 3x+1/(x+1)(2x+1) in partial fractions
3x+1/(x+1)(2x+1)=A/(x+1) + B/(2x+1)Multiply equation by (x+1) and (2x+1) to get:3x+1= A(2x+1) + B(x+1)Let x=-1 (x+1=0 so x=-1) sub into new equation. -2= A(-1) + B (x+1)-2=-AA=2Let x=-1/2 and sub into same equation. -1/2 = A(0) + B(1/2)-1/2=1/2BB=-1Therefore 3x+1/(x+1)(2x+1) = 2/(x+1) - 1/(2x+1)
NM
Related Maths A Level answers
All answers ▸A function is defined as f(x) = x / sqrt(2x-2). Use the quotient rule to show that f'(x) = (x-2)/(2x-2)^(3/2)
The equation of curve C is 3x^2 + xy + y^2 - 4x - 6y + 7 = 0. Use implicit differentiation to find dy/dx in terms of x and y.
Find the area between the curve y = 8 + 2x - x^2 and the line y = 8 - 2x.
How can I calculate the standard deviation of a data set?