Question

Sketch the region enclosed by the given curves.
y = tan(5x), y = 2 sin(5x), −π/15 ≤ x ≤ π/15
Find the Area.

Answer 1

\[
2 \int_0^{\frac{\pi }{15}} (2 \sin (5 x)-\tan
(x)) \, dx=2 \left(\frac{1}{5}+\log
\left(\cos \left(\frac{\pi
}{15}\right)\right)\right)
\]