Mathematics · 2021
JEE Main · 25 February 2021, Shift 2 · Q68
The integral ∫ (e^3 log_e 2 x +5 e^2 log_e 2 x)/(e^4 log_e x +5 e^3 log_e x -7 e^2 log_e x) d x, x>0, is equal to: (where c is a constant of…
The integral $\displaystyle \int \frac{\mathrm{e}^{3 \log _{\mathrm{e}} 2 x}+5 \mathrm{e}^{2 \log _{\mathrm{e}} 2 x}}{\mathrm{e}^{4 \log _{\mathrm{e}} x}+5 \mathrm{e}^{3 \log _{\mathrm{e}} x}-7 \mathrm{e}^{2 \log _{\mathrm{e}} x}} \mathrm{~d} x, x>0$, is equal to : (where c is a constant of integration)
Official answer
(2)
$\displaystyle 4 \log _{\mathrm{e}}\left|x^2+5 x-7\right|+\mathrm{c}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.