The value of the integral \(\mathop \oint \limits_C \frac{{z + 1}}{{{z^2} - 4}}dz\) in counter clockwise direction around a circle C of radius 1 with center at the point z = −2 is

• A. \(\frac{{\pi i}}{2}\)
• B. 2πi
• C. \(- \frac{{\pi i}}{2}\)
• D. – 2πi