这题怎么做？

無聊人

这题我想了老半天都想不到去路

Test the following for convergence.

Int (x^6 + 1)^(-0.5) dx

lower limit = 0
upper limit = inf

提示是consider 2 sub domains: 0 to 1 and 1 to inf.

答案是converge

dunwan2tellu

提示
when 0 =< x =< 1,
(x^6+1)^(-0.5) =< 1

when x>1,
(x^6+1)^(-0.5) =< x^-3