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Definite Integration question

2024 · 4 Apr · Shift 1 · Q56

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JEE Main
Mathematics
Definite Integration
2024 · 4 Apr · Shift 1 · Q56

Definite Integration question

2024 · 4 Apr · Shift 1 · Q56

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If

\int_0^{\frac{\pi}{4}} \frac{\sin ^2 x}{1+\sin x \cos x} \mathrm{~d} x=\frac{1}{\mathrm{a}} \log _{\mathrm{e}}\left(\frac{\mathrm{a}}{3}\right)+\frac{\pi}{\mathrm{b} \sqrt{3}}

, where

\mathrm{a}, \mathrm{b} \in \mathrm{N}

, then

\mathrm{a}+\mathrm{b}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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