Integrate w/ trig substitution: int sin^3(x) cos^5(x)dx
[tex]f(x) = \frac{1}{4}sin^{4}x - \frac{1}{3}sin^{6}x + \frac{1}{8}sin^{8}x[/tex] [tex]\rightarrow f\left(\frac{\pi}{4}\right) \approx 0.028645833[/tex] [tex]\rightarrow f\left(\frac{\pi}{3}\right) &...