Jee Main 2025 — Medium JEE math MCQ
The value of \( \int_{\mathbb{R}} \frac{1}{x} \left( e^{(\log_2 x)^2 + 1} - e^{(\log_2 x)^2 - 1} \right) dx \) is \begin{align*}
- A. \ 2 & & \quad
- B. \ \log_2 2 \\
- C. \ 1 & & \quad
- D. \ e^2 \end{align*}
Solution
The correct option is **C**. (C. \ 1 & & \quad)