@article{JMPA_1846_1_11__471_0, author = {Roberts, William}, title = {Sur l'int\'egrale d\'efinie $\int^{\frac{1}{2}\pi}\frac{\log \left(1+n\sin ^2\varphi\right)d\varphi}{\sqrt{1-k^2\sin ^2\varphi}}$}, journal = {Journal de Math\'ematiques Pures et Appliqu\'ees}, pages = {471--476}, publisher = {Gauthier-Villars}, volume = {1e s{\'e}rie, 11}, year = {1846}, language = {fr}, url = {http://www.numdam.org/item/JMPA_1846_1_11__471_0/} }