求该不定积分 ∫ dx /sin^2 (2x+π/4)
问题描述:
求该不定积分 ∫ dx /sin^2 (2x+π/4)
答
∫ dx/sin²(2x + π/4)
= (1/2)∫ csc²(2x + π/4) d(2x + π/4)
= (- 1/2)cot(2x + π/4) + C