19/09/23 23:28:10.86 2PqEJji0.net
Σ[n=1,∞] ∫ (t/{aa･sin(x)^2 + bb･cos(x)^2})^n dx
= ∫ t/{aa･sin(x)^2 + bb･cos(x)^2 -t} dx
= ∫ t/{(aa-t)sin(x)^2 + (bb-t)cos(x)^2} dx
= t/√{(bb-t)(aa-t)}∫dy { ← √{(aa-t)/(bb-t)}･tan(x) = tan(y)}
= t/√{(bb-t)(aa-t)} y
= t/√{(bb-t)(aa-t)} arctan(√{(aa-t)/(bb-t)}･tan(x)),
ここで ｘ：0→π/2,