Question

Find the indefinite integral: \[ \int \frac{2x + 1}{x^2 + 6x + 2} \, dx \]

Hint:

Always double-check your completed square form by re-expanding it: \((x+3)^2 - 7 = x^2 + 6x + 9 - 7 = x^2 + 6x + 2\). This guarantees that no sign errors were introduced midway.

Answer 1