User:Sunjay

Hello, my name is Sunjay. Not Sunjay or Sunjoy or Sanjaya. It's Sunjay.


 * $$\frac13\int_a^b r(\theta)^2h(\theta)\,d\theta$$
 * $$3\cdot\frac12\int_0^{2\pi} r(\theta)^2\,d\theta\,\approx\,805.8185ft^3$$
 * $$\frac13\cdot\frac14\int_{-\frac{\pi}6}^{\frac{\pi}2} r(\theta)^3\,d\theta\,\approx\,148.4403ft^3$$
 * $$\frac13\cdot\frac13\int_{\frac{\pi}2}^{\frac{7\pi}6} r(\theta)^3\,d\theta\,\approx\,197.9203ft^3$$
 * $$\frac13\cdot\frac12\int_{\frac{7\pi}6}^{\frac{11\pi}6} r(\theta)^3\,d\theta\,\approx\,296.8805ft^3$$
 * $$\int_0^{2\pi} \sqrt{r^2+\left(\frac{dr}{d\theta}\right)^2} \, d\theta$$
 * $$\int_{-\frac{\pi}6}^{\frac{\pi}2} \left(\frac{r(\theta)}4 + 3\right)\sqrt{r^2+\left(\frac{dr}{d\theta}\right)^2}\,d\theta\,\approx\,122.8734ft^2$$
 * $$\int_{\frac{\pi}2}^{\frac{7\pi}6} \left(\frac{r(\theta)}3 + 3\right)\sqrt{r^2+\left(\frac{dr}{d\theta}\right)^2}\,d\theta\,\approx\,140.8319ft^2$$
 * $$\int_{\frac{7\pi}6}^{\frac{11\pi}6} \left(\frac{r(\theta)}2 + 3\right)\sqrt{r^2+\left(\frac{dr}{d\theta}\right)^2}\,d\theta\,\approx\,176.7490ft^2$$
 * $$\frac12\int_0^{2\pi} r(\theta)^2\,d\theta\,\approx\,268.6062ft^3$$
 * $$\int_{\frac{7\pi}6}^{\frac{11\pi}6} \left(\frac{r(\theta)}2 + 3\right)\sqrt{r^2+\left(\frac{dr}{d\theta}\right)^2}\,d\theta\,\approx\,176.7490ft^2$$
 * $$\frac12\int_0^{2\pi} r(\theta)^2\,d\theta\,\approx\,268.6062ft^3$$