<p>Find the volume of the solid formed by revolving the following curves about the \(x\)-axis by \(2\pi\).</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">\(y = x^{\frac{3}{2}}, 1 \leq x \leq 4\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(y = \sqrt{25 - x^2}, 0 \leq x \leq 5\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(y = \cos 2x, 0 \leq x \leq \frac{\pi}{4}\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(y = \sec x, 0 \leq x \leq \frac{\pi}{3}\)</span></div></li></ol>

Find the volume of the solid formed by revolving the following curves about the \(x\)-axis by \(2\pi\).

\(y = \cos 2x, 0 \leq x \leq \frac{\pi}{4}\)

\(y = \sec x, 0 \leq x \leq \frac{\pi}{3}\)

Volume of Revolution about the x-axis

Applications of Intergration

H2 Math

International Baccalaureate Higher Level Mathematics

Volume of revolution about x-axis

Volume of revolution about x-axis