mathematical-analysis-if-0-1-arctan-x-ln-1-x-2-x-2-dx-1-48-api-2-bpiln-2-c-ln-2-2-then-a-2-b-c-1-2-

Question Number 138171 by mnjuly1970 last updated on 11/Apr/21

\dots \dots . m a t h e m a t i c a l \dots . a n a l y s i s \dots \dots .

i f : ϕ = \int_{0}^{1} \frac{a r c t a n (x) . l n (1 + x^{2})}{x^{2}} d x

= \frac{1}{48} (a π^{2} - b π l n (2) + c {l n}^{2} (2))

\dots \dots t h e n \dots . a^{2} + {(b - c + 1)}^{2} = ? ? ?