Question

Find : \( \int \frac{x + 3}{x^2 + 4x + 5} \, dx \)

Hint:

Always look to see if simple inspection works: \( x + 3 = \frac{1}{2}(2x + 4) + 1 \). Splitting the linear numerator mentally can save you from writing down long algebraic parameter linear system setups.

Answer 1