Which one is bigger?

Calculus Level 4

Let \(f(x) = (\tan x)^\frac 32 - 3 \tan x + \sqrt{\tan x}\) and

\[I_1 = \int_0^1 f(x) \ dx \qquad I_2 = \int_{0.3}^{1.3} f(x) \ dx \qquad I_3 = \int_{0.5}^{1.5} f(x) \ dx \]

What is the order of the three integrals?

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