If (a, b) be the orthocentre of the triangle whose vertices are (1,2),(2,3) and (3,1), and I₁=∫ a ^(b) x sin (4 x-x²) d x, I₂=∫ a ^(b) sin (4 x-x²) d x, then 36 I₁/I₂ is equal to:

Integral Calculus: JEE Main 2024 Mathematics question

JEE Main 2024 · 27 Jan, Morning shift · Q3471

JEE Main 202427 Jan, Morning shiftMathematicsHardIntegral Calculus369× since 2002

(a, b)

be the orthocentre of the triangle whose vertices are

(1,2),(2,3)

and

(3,1)

, and

\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} x

, then

36 \frac{\mathrm{I}_1}{\mathrm{I}_2}

is equal to :

JEE Main 2024 Integral Calculus Question with Solution (27 Jan Morning shift, Q3471) | JEE Arc