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Definite Integration question

2024 · 27 Jan · Shift 1 · Q35

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JEE Main
Mathematics
Definite Integration
2024 · 27 Jan · Shift 1 · Q35

Definite Integration question

2024 · 27 Jan · Shift 1 · Q35

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

(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 :

A
80
B
72
C
66
D
88

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