∫1/sin^4x dx
问题描述:
∫1/sin^4x dx
答
∫ 1/sin⁴x dx
= ∫ csc⁴x dx
= ∫ csc²x d(- cotx)
= - ∫ (1 + cot²x) d(cotx)
= - (cotx + 1/3 * cot³x) + C