Integral with Quadratic Denominator
Calculus
Evaluate the integral: $$ \int \frac{1}{x^2+2x+5}\,\mathrm{d}x$$
A$\frac12\arctan\left(\frac{x+1}{2}\right)+C$
B$\arctan\left(\frac{x+1}{2}\right)+C$
C$\frac12\arctan\left(\frac{x-1}{2}\right)+C$
D$\frac14\ln\left(x^2+2x+5\right)+C$