∫ 1 / (1 + cos t) dt

∫ 1 / (1 + cos t) dt

∫ 1 / (1 + cost) dt
= ∫ (1 - cost) / [(1 + cost) (1 - cost)] dt
= (1 - cost) / sin & # 178; t dt
= ∫ csc & # 178; t dt - ∫ csct * cott dt
= - cot (t) + csc (t) + C