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How do you test the improper integral #int x^-0.9 dx# from #[0,1]# and evaluate if possible?

1 Answer

Aug 16, 2017

Please see below.

Explanation:

#int_0^1 x^(-0.9) dx = lim_(ararr0^+) int_a^1 x^(-0.9) dx#

# = lim_(ararr0^+) [10x^0.1]_a^1#

# = 10 - lim_(ararr0^+) 10a^0.1#

# = 10#

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