Homework Soursesketch the region enclosed by the given curves and find its
sketch the region enclosed by the given curves and find its area
y= tan x
y = 2 sin x
-pi/3<= x <= pi/3
<= means less than or equal to
pi is the symbol for pi
y= tan x
y = 2 sin x
-pi/3<= x <= pi/3
<= means less than or equal to
pi is the symbol for pi
Solution
\\(A = \\int_{-\\pi/3}^{0} \\sin x dx - \\tan x dx + \\int_{0}^{\\pi/3}\\sin x dx - \\tan x dx = 2 \\int_{-\\pi/3}^{0} \\sin x dx - \\tan x dx = 1+\\log 4\\)
