Let f(t) = ∫(1 − sin ln t).... | JEE Main 2026

JEE MAIN 2026

24-01-2026 S1

Question

Let $f(t)=\int\left(\frac{1-\sin \left(\log _e t\right)}{1-\cos \left(\log _e t\right)}\right) d t, t>1$. If $f\left(e^{\pi / 2}\right)=-e^{\pi / 2}$ and $f\left(e^{\pi / 4}\right)=\alpha e^{\pi / 4}$, then $\alpha$ equals

Select the correct option:

$-1-\sqrt{2}$

$-1-2 \sqrt{2}$

$1+\sqrt{2}$

$-1+\sqrt{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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