Mathematics · 2023
JEE Main · 25 January 2023, Shift 1 · Q69
Let f(x)=∫ (2 x)/((x^2+1)(x^2+3)) d x. If f(3)=1/2( log_e 5- log_e 6), then f(4) is equal to
Let $\displaystyle f(x)=\int \frac{2 x}{\left(x^2+1\right)\left(x^2+3\right)} d x$. If $\displaystyle f(3)=\frac{1}{2}\left(\log _e 5-\log _e 6\right)$, then $\displaystyle f(4)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{1}{2}\left(\log _e 17-\log _e 19\right)$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.