How do you find the integral of $int x^(-5/4)dx$ from 1 to infinity?

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Answer 1 · 2015-10-18T00:56:15

See the explanation section.

$int_1^oo x^(-5/4)dx = lim_(brarroo)int_1^b x^(-5/4)dx$

$=lim_(brarroo) [-4x^(-1/4)]_1^b$

$=lim_(brarroo) [-4/root4x]_1^b$

$=lim_(brarroo) [-4/root4b + 4]$

$= 4$

How do you find the integral of int x^(-5/4)dxint x^(-5/4)dx from 1 to infinity?