Paneer Definite Masala 14

Calculus Level 4

\[ \large \int_0^1 \arctan(1-x+x^2) \, dx \]

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

Give your answer to 3 decimal places

You may use the following approximations: \( \log_{10} 2 = 0.3010, \ln10 = 2.3026 \).

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