1/X 的四次方在(1,无穷大)之间的积分
人气:446 ℃ 时间:2020-10-01 13:31:28
解答
∫x^(-4)dx
=x^(-4+1)/(-4+1)(1到无穷大)
=(-1/3)(1/x³)(1到无穷大)
x趋于无穷大
(-1/3)(1/x³)极限是0
x=1,(-1/3)(1/x³)=-1/3
所以原式=0-(-1/3)=1/3
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