Evaluate the Integral $\int \frac{7 d x}{\left(x^{2}+2 x+2\right)^{2}}$ A) $\frac{1}{2}\left(\tan ^{-1}(x+2)+\frac{7}{x^{2}+2}\right)+C$ B) $\frac{1}{2}\left(\tan ^{-1}(x+7)+\frac{1}{x^{2}+2 x+2}\right)+C$

Multiple Choice

Evaluate the integral. $\int \frac{7 d x}{\left(x^{2}+2 x+2\right) ^{2}}$

A) $\frac{1}{2}\left(\tan ^{-1}(x+2) +\frac{7}{x^{2}+2}\right) +C$
B) $\frac{1}{2}\left(\tan ^{-1}(x+7) +\frac{1}{x^{2}+2 x+2}\right) +C$
C) $\frac{7}{2}\left(\tan ^{-1}(x+1) +\frac{x+1}{x^{2}+2 x+2}\right) +C$
D) $\frac{1}{2}\left(\tan (x+1) +\frac{17}{x^{2}+2 x+2}\right) +C$
E) $\frac{7}{2}\left(\tan (x+2) +\frac{x+1}{x^{2}+2 x+2}\right) +C$