Which one of the following is the result of \( \int… – Class 12 Mathematics 2081 Solved

Which one of the following is the result of $ \int \frac{1}{x^2 + 4} dx $?

A) $ \frac{1}{2} \tan^{-1} \left( \frac{2}{x} \right) $ $\frac{1}{2} \tan^{-1} \left( \frac{2}{x} \right) + \text{constant}$ B) $ \frac{1}{2} \tan^{-1} \left( \frac{x}{2} \right) $ $\frac{1}{2} \tan^{-1} \left( \frac{x}{2} \right) + \text{constant}$

C) $ 2 \tan^{-1} \left( \frac{x}{2} \right) $ $2 \tan^{-1} \left( \frac{x}{2} \right) + \text{constant}$ D) $ \tan^{-1} \left( \frac{x}{2} \right) $ $\tan^{-1} \left( \frac{x}{2} \right) + \text{constant}$

Which one of the following is the result of \( \int \frac{1}{x^2 + 4} dx \) ? A) \( \frac{1}{2} \tan^{-1} \left( \frac{2}{x} \right) \) + constant B)…

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