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UPSC NDA II 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :

Let

I=\int\limits_{-2\pi}^{2\pi} \frac{\sin^4 x + \cos^4 x}{1+3^x} \, dx

[NDA II 2023]

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Question : 61 of 120

Marks: +1, -0

What is

\int\limits_{0}^{\pi} (\sin^4 x + \cos^4 x) \, dx

$\frac{3\pi}{8}$
$\frac{3\pi}{4}$
$\frac{3\pi}{2}$
$3\pi$

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