integrate sin2 x÷ sinx×dx
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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
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
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