Thread: Improper integrals

can someone please explain to me step by step what I am supposed to do? I'm very confused at the moment. thanks for any help.

Evaluate the integral:
the integral from 1 to infinity of dx/(x^1.001)

Originally Posted by turtle

can someone please explain to me step by step what I am supposed to do? I'm very confused at the moment. thanks for any help.

Evaluate the integral:
the integral from 1 to infinity of dx/(x^1.001)

You are asked for:



which by the standard rules for the integral of a power other than -1:



RonL

Originally Posted by turtle

can someone please explain to me step by step what I am supposed to do? I'm very confused at the moment. thanks for any help.

Evaluate the integral:
the integral from 1 to infinity of dx/(x^1.001)

$ is integral

$ x^-1.001 dx = x^-0.001/0.001 should apply limit

= (1^-0.001/0.001) - (1/infinite)
= 1/0.001 - 0
= 1000
1000 is right answer.

R.Mangalesh