JEE Main 202621 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002If ∫014cot−1(1−2x+4x2) dx=atan−1(2)−bloge(5)\int_0^1 4\cot^{-1}(1-2x+4x^2)\,dx=a\tan^{-1}(2)-b\log_e(5)∫014cot−1(1−2x+4x2)dx=atan−1(2)−bloge(5), where a,b∈Na, b\in\mathbf{N}a,b∈N, then (2a+b)(2a+b)(2a+b) is equal to ______.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
