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Definite Integration question

2024 · 31 Jan · Shift 1 · Q54

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JEE Main
Mathematics
Definite Integration
2024 · 31 Jan · Shift 1 · Q54

Definite Integration question

2024 · 31 Jan · Shift 1 · Q54

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If the integral

525 \int\limits_0^{\frac{\pi}{2}} \sin 2x \cos^{\frac{11}{2}} x\left(1+\cos^{\frac{5}{2}} x\right)^{\frac{1}{2}} dx

is equal to

(n \sqrt{2}-64)

, then

n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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