Definite Integral Inverse Trig (Jee Mains)

Definite Integrals and Reduction

Hard

If $\int\limits_0^1 {4{{\cot }^{ - 1}}}$ (1–2x + 4x²)dx = a tan^–1(2) – blog_e(5), where a, b∈N, then(2a + b) is equal to _______

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