Practicing Success
\(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\sec^{\frac{2}{3}}xcosec^{\frac{4}{3}}xdx=\) |
\(3^{\frac{6}{7}}-3^{\frac{6}{5}}\) \(3^{\frac{7}{6}}-3^{\frac{5}{6}}\) \(3^{\frac{3}{5}}-3^{\frac{3}{7}}\) \(3^{\frac{5}{3}}-3^{\frac{7}{3}}\) |
\(3^{\frac{7}{6}}-3^{\frac{5}{6}}\) |
\(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\sec^{\frac{2}{3}}xcosec^{\frac{4}{3}}xdx=\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\frac{\sec^2x}{(\tan x)^\frac{4}{3}}dx\) Then put \(\tan x=t\) |