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f-2——-1,dx/(11+5x)括号上的的三次方的定积分等于多少啊...
人气:376 ℃ 时间:2020-09-10 04:13:24
解答
∫(-2~-1) dx/(11 + 5x)³
= (1/5)∫(-2~-1) d(5x + 11)/(11 + 5x)³
= (1/5) * -1/[2(11 + 5x)²] |_(-2)^(-1)
= (-1/10) * [1/(11 + 5 * -1)² - 1/(11 + 5 * -2)²]
= (-1/10) * (-35/36)
= 7/72
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