On the $\int_0^\pi\frac{\sin^mx}{p+q\cos x}\,dx$ integral
Doklady Akademii Nauk, Tome 120 (1958) no. 6, pp. 1178-1179.

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@article{DAN_1958_120_6_a1,
     author = {K. V. Brodovitsky},
     title = {On the $\int_0^\pi\frac{\sin^mx}{p+q\cos x}\,dx$ integral},
     journal = {Doklady Akademii Nauk},
     pages = {1178--1179},
     publisher = {mathdoc},
     volume = {120},
     number = {6},
     year = {1958},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DAN_1958_120_6_a1/}
}
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K. V. Brodovitsky. On the $\int_0^\pi\frac{\sin^mx}{p+q\cos x}\,dx$ integral. Doklady Akademii Nauk, Tome 120 (1958) no. 6, pp. 1178-1179. http://geodesic.mathdoc.fr/item/DAN_1958_120_6_a1/