(\integral\_{}^{}\frac{x^{2} + x–6}{(x–2)(x–1)}dx) = | MATH - INTEGRATION OF RATIONAL FUNCTION BY USING PARTIAL FRACTIONS, EVALUATION | SolveeIt

$\int_{}^{}\frac{x^{2} + x–6}{(x–2)(x–1)}dx$ =

x + 2log(x – 1) + c

2x + 2log(x – 1) + c

x + 4log(1 – x) + c

x + 4log(x – 1) + c

Answer

x + 4log(x – 1) + c

Explanation

$\int \frac { x ^ { 2 } + x - 6 } { ( x - 2 ) ( x - 1 ) }$ dx = $\int_{}^{}\frac{(x + 3)(x–2)}{(x–2)(x–1)}$ dx

= = x + 4log (x – 1) + c

Question: \(\int_{}^{}\frac{x^{2} + x–6}{(x–2)(x–1)}dx\) =...