Question

integrate sin2 x÷ sinx×dx

Answer 1

first simplified sin(2x) / sin(x)
sin(2x) = 2sin(x)cos(x). (by formula)
so,
sin(2x) / sin(x) = 2sin(x)cos(x) / sin(x) 
sin(2x) / sin(x) = 2cos(x) 
so, 
∫2cos(x) dx 
2 * ∫cos(x) dx 
= 2sinx+C