Question

Evaluate the ∫(x+2/x-2)dx

Answer 1

$\int \frac{x+2}{x-2} dx = \int \frac{x-2+4}{x-2} dx = \int \frac{x-2}{x-2} dx + \int \frac{4}{x-2} dx = \int dx +4 \int \frac{1}{x-2} dx$ $= x + 4ln\mid x-2 \mid + C$