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 _ _ _ _ _ _.

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Evening shift · Q35

JEE Main 202330 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

\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

\beta-\alpha

is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Integral Calculus Question with Answer (30 Jan Evening shift, Q35) | JEE Arc

JEE Main 2023 · 30 Jan, Evening shift · Q35

JEE Main 202330 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

\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

\beta-\alpha

is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.