求定积分∫(1,3)根号1/(5x-1)dx
答案:1 悬赏:60
解决时间 2021-03-21 21:51
- 提问者网友：清羽墨安
- 2021-03-21 00:06
求定积分∫(1,3)根号1/(5x-1)dx
最佳答案
- 二级知识专家网友：星痕之殇
- 2021-03-21 00:49
∫(-2→-1) dx/(5x + 1)³
= (1/5)∫(-2→-1) d(5x + 1)/(5x + 1)³
= (1/5) • -1/[2(5x + 1)²] |(-2→-1)
= (-1/10) • 1/(5x + 1)² |(-2→-1)
= (-1/10) • [1/16 - 1/81]
= (-1/10) • (65/1296)
= -13/2592
= (1/5)∫(-2→-1) d(5x + 1)/(5x + 1)³
= (1/5) • -1/[2(5x + 1)²] |(-2→-1)
= (-1/10) • 1/(5x + 1)² |(-2→-1)
= (-1/10) • [1/16 - 1/81]
= (-1/10) • (65/1296)
= -13/2592
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