indefinite-integration

Question: $\int{\frac{x\,\,dx}{{{x}^{2}}+4x+5}=}$

1) $\frac{1}{2}\log ({{x}^{2}}+4x+5)+2{{\tan }^{-1}}(x)+c$

2) $\frac{1}{2}\log ({{x}^{2}}+4x+5)-{{\tan }^{-1}}(x+2)+c$

3) $\frac{1}{2}\log ({{x}^{2}}+4x+5)+{{\tan }^{-1}}(x+2)+c$

4) $\frac{1}{2}\log ({{x}^{2}}+4x+5)-2{{\tan }^{-1}}(x+2)+c$

Solution:

Explanation: No Explanation

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