求不定积分:∫dX/sinX+cosX
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/07 02:39:21
求不定积分:∫dX/sinX+cosX
∫dx/(sinx+cosx)
=√2∫ dx/(sin(x+π/4)
= √2∫ csc(x+π/4)) dx
=√2ln |csc(x+π/4) - cot(x+π/4)| + C
=√2∫ dx/(sin(x+π/4)
= √2∫ csc(x+π/4)) dx
=√2ln |csc(x+π/4) - cot(x+π/4)| + C
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