Mathematics · 2019
JEE Main · 12 April 2019, Shift 2 · Q75
A value of α such that ∫_α^α+1 (d x)/((x+α)(x+α+1))= log_e (9/8) is:
A value of $\displaystyle \alpha$ such that
$$\int_\alpha^{\alpha+1} \frac{\mathrm{~d} x}{(x+\alpha)(x+\alpha+1)}=\log _{\mathrm{e}}\left(\frac{9}{8}\right) \text { is : }
$$
Official answer
(3)
$\displaystyle -2$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.