Mathematics · 2023
JEE Main · 30 January 2023, Shift 2 · Q87
If ∫ √(sec 2 x-1) d x=α log_e| cos 2 x+β+√(cos 2 x(1+ cos 1/(β) x))|+ constant, then β-α is equal to ____.
If $\displaystyle \int \sqrt{\sec 2 x-1} d x=\alpha \log _e\left|\cos 2 x+\beta+\sqrt{\cos 2 x\left(1+\cos \frac{1}{\beta} x\right)}\right|+$ constant, then $\displaystyle \beta-\alpha$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
1
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.