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Indefinite Integrals question

2023 · 30 Jan · Shift 2 · Q43

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2023 · 30 Jan · Shift 2 · Q43

Indefinite Integrals question

2023 · 30 Jan · Shift 2 · Q43

JEE MainMathematicsIndefinite IntegralsNumerical+4 / −1

If

\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

\underline{\hspace{2cm}}

.

Numerical answer

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