Paneer Definite Masala 8

Calculus Level 4

\[\large\int_{-1}^3\arctan\left(\dfrac x{1+x^2}\right)+\arctan\left(\dfrac {1+x^2}x\right)\, dx \]

The integral above has a closed form. Find the value of this closed form.

Give your answer to 3 decimal places.

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