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\int \frac{dx}{sin (x - 1) sin (x - 2)}

Source: Spanish Mathematical Olympiad 1981 P4

December 23, 2022
calculusintegrationIntegral

Problem Statement

Calculate the integral dxsin(x1)sin(x2).\int \frac{dx}{\sin (x - 1) \sin (x - 2)} . Hint: Change tanx=t\tan x = t .