Definite Integration · Definite integral of inverse trigonometric functions

\displaystyle\int_0^1 4\cot^{-1}(1 - 2x + 4x^2)\,dx = a\tan^{-1}(2) - b\log_e(5)

, where

a, b \in \mathbb{N}

, then

(2a + b)

is equal to .

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.