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Evaluate: Hence evaluate: [Evaluate]

Mathematics20256 marksShort answer
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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Integrals

From ISC 2025 Specimen Mathematics Paper 1, question 12(ii).