The value of the definite integral equals:

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The value of the definite integral ∫π/83π/811+4cos⁡2x+cos⁡4x1−cos⁡4x dx\int_{\pi/8}^{3\pi/8} \frac{11 + 4 \cos 2x + \cos 4x}{1 - \cos 4x}\,dx equals: (A) −6−π4-6 - \frac{\pi}{4} (B) 62−π46\sqrt{2} - \frac{\pi}{4} (C) 12−π212 - \frac{\pi}{2} (D) 6−π46 - \frac{\pi}{4}

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