1-prove-that-0-1-arctant-t-dt-0-1-lnt-1-t-2-dt-2-find-0-1-arctant-t-dt-at-form-of-serie-

Question Number 32731 by caravan msup abdo. last updated on 31/Mar/18

1) p r o v e t h a t \int_{0}^{1} \frac{a r c t a n t}{t} d t = - \int_{0}^{1} \frac{l n t}{1 + t^{2}} d t

2) f i n d \int_{0}^{1} \frac{a r c t a n t}{t} d t a t f o r m o f s e r i e