NVAMediumJEE Main 2026 · 21 January, Shift 2Indefinite Integrals

Mathematics Question from JEE Main 2026 · 21 January, Shift 2

If 014cot1(12x+4x2)dx=atan1(2)bln(5)\int_0^1 4 \cot^{-1}(1 - 2x + 4x^2) \, dx = a \tan^{-1}(2) - b \ln(5), where a,bNa, b \in \mathbb{N}, then (2a+b)(2a + b) is equal to _____.

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