A: $\int_0^4\pi \sqrt{\sin^2 t + \cos^2 t + \left(\frac14\pi\right)^2} \, dt = 4\pi \sqrt{1 + \frac116\pi^2}$ - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

$A: $\int_0^{4\pi} \sqrt{\sin^2 t + \cos^2 t + \left(\frac{1}{4\pi}\right)^2} \, dt = 4\pi \sqrt{1 + \frac{1}{16\pi^2}}$$