∫1/sin^4x dx

问题描述:

∫1/sin^4x dx

∫ 1/sin⁴x dx
= ∫ csc⁴x dx
= ∫ csc²x d(- cotx)
= - ∫ (1 + cot²x) d(cotx)
= - (cotx + 1/3 * cot³x) + C