Question

evluate ∫ (x+1) / x^2 (x−1) ԁx

Answer 1

partial fractions
\[\frac{x+1}{x^2 (x-1)} = \frac {Ax +B}{x^2} + \frac{C}{x-1}\]
\[(Ax+B)(x-1) + Cx^2 = x+1\]
\[A +C = 0\]
\[B -A =1\]
\[-B = 1\]

solve for A,B,C