Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q67
If x=∫_0^y (d t)/(√(1+ t^2)), then (d^2 y)/(d x^2) is equal to:
If $\displaystyle x=\int_0^y \frac{d \mathrm{t}}{\sqrt{1+\mathrm{t}^2}}$, then $\displaystyle \frac{d^2 y}{d x^2}$ is equal to :
Official answer
(1)
$\displaystyle y$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.