Question Id : 18046 |
Context : JEE Main 2026 (24 January Morning Shift)
Let
$f(t)=\int \frac{1-\sin(\log_e t)}{1-\cos(\log_e t)}dt,; t>1$
If $f(e^{\pi/2})=-e^{-\pi/2}$ and $f(e^{\pi/4})=\alpha e^{-\pi/4}$, then $\alpha$ equals:
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