Mathematics · 2021
JEE Main · 3 August 2021, Shift 2 · Q72
The integral ∫ (d x)/(√(2 x+5)-√(2 x+3)) is equal to (where C is a constant of integration)
The integral $\displaystyle \int \frac{d x}{\sqrt{2 x+5}-\sqrt{2 x+3}}$ is equal to (where C is a constant of integration)
Official answer
(3)
$\displaystyle \frac{1}{6}\left[(2 x+5)^{\frac{3}{2}}+(2 x+3)^{\frac{3}{2}}\right]+\mathrm{C}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.