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The value of \({\int }_{0}^{20\pi }\left({\sin }^{4}x+{\cos }^{4}x\right)dx\) is equal to: [JEE Main 2026, 2 Apr (Shift …

Q1

The value of \({\int }_{0}^{20\pi }\left({\sin }^{4}x+{\cos }^{4}x\right)dx\) is equal to:

[JEE Main 2026, 2 Apr (Shift 2)]

a

\(\frac{15\pi }{2}\)

b

\(25\pi\)

c

\(15\pi\)

d

\(\frac{25\pi }{2}\)

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