Shorcut : sinx + sin2x + ............ + sinnx This question has not been answered yet! Don't worry! You can check out similar questions with solutions below To prove: LHS=RHS sinx + sin2x +..........+ sinnx, sin n + ... 1/sinx+sin2xsinx+ sin2x + sin3x = 0 integrate 1/sinx-sin2x Integrate sinx* sin2x* sinx.