MathematicsHard210×since 2002Q3471If (a,b)(a, b)(a,b) be the orthocentre of the triangle whose vertices are (1,2),(2,3)(1,2),(2,3)(1,2),(2,3) and (3,1)(3,1)(3,1), and I1=∫abxsin(4x−x2)dx,I2=∫absin(4x−x2)dx\mathrm{I}_1=\int\limits_{\mathrm{a}}^{\mathrm{b}} x \sin \left(4 x-x^2\right) \mathrm{d} x, \mathrm{I}_2=\int\limits_{\mathrm{a}}^{\mathrm{b}} \sin \left(4 x-x^2\right) \mathrm{d} xI1=a∫bxsin(4x−x2)dx,I2=a∫bsin(4x−x2)dx, then 36I1I236 \frac{\mathrm{I}_1}{\mathrm{I}_2}36I2I1 is equal to :A80B72C66D88Check answerSkip