Question

Solve: $\int \frac{1}{4x^2+4x+5}dx$

• A. $\frac{1}{4}\left[{\tan }^{-1}\frac{2x+1}{2}\right]+C$
• B. $\frac{1}{2}\ln \left|\frac{2x+1}{2x-3}\right|+C$
• C. $\frac{1}{2}\ln \left|\frac{2x-1}{2x+3}\right|+C$
• D. None of these

Answer 1

The correct option is A $\frac{1}{4}\left[{\tan }^{-1}\frac{2x+1}{2}\right]+C$

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