Integrate f(x): f(x) = (3x +2) / (x^2 - 5x +6)
Split into partial fractions: (3x +2) / (x2 - 5x +6) = A / (x-3) + B / (x-2) => 3x + 2 = A(x-2) + B(x-3) let x = 2: 8 = -B => B = -8 let x = 3: 11 = A => A = 11 Now we can integrate f(x) = 11 / (x-3) - 8 / (x-2): Giving: 11 ln(x-3) - 8 ln(x-2) + C
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Related Maths A Level answers
All answers ▸It is given f(x)=(19x-2)/((5-x)(1+6x)) can be expressed A/(5-x)+B/(1+6x) where A and B are integers. i) Find A and B ii) Show the integral of this from 0 to 4 = Kln5
"Why is Mathematics important, I wont use any of it when I start work?"
Differentiate with respect to x: 3 sin^2 x + sec 2x
How do you differentiate simple algebra?