# A calculus problem by Nishant Rai

Calculus Level 3

$\begin{eqnarray} I_1 &=& \int _{ 1 }^{ 3 }{(x^2 + x + 3)f(x^3 - 2x^2 - 5x +2020)} \ dx \\ I_2 &=& \int _{ 1 }^{ 3 }{(4x^2 - 3x - 2)f(x^3 - 2x^2 - 5x +2020)} \ dx \\ \frac{2I_1}{3I_2} &=& \ ? \end{eqnarray}$

To clarify: "$$\in{(a,b)}$$" implies that your answer must be in between $$a$$ and $$b$$ exclusive.

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