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Evaluate: Hence evaluate: [Evaluate]
Evaluate: $\int_0^\pi (\sin^4 x + \cos^4 x) \\, dx$
Hence evaluate: $\int_{-2\pi}^{2\pi} \frac{\sin^4 x + \cos^4 x}{1 + e^x} \\, dx$ [Evaluate]
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From ISC 2025 Specimen Mathematics Paper 1, question 12(ii).