Tutorial Week 7
Arc length of curves
Q1: Find the length of the curve \(y = -ln(sin(x))\) on \(x \in [\frac{\pi}{4}, \frac{3\pi}{4}]\).
Q2: Find the length of the astroid curve \(x^{\frac{2}{3}}+y^{\frac{2}{3}}=3\).
Simpson’s Rule
Q3: Approximate \(\int_{-\pi}^{\pi} \frac{sin(x)}{x}dx\) using Simpson’s Rule with \(n=4\).
