Solving an Improper Integral Problem: 1/(4x-2)^5 dx from 2 to infinity

[loganblacke]

Homework Statement

Find the value of Integral from 2 to infinity of 1/(4x-2)^5 dx.

Homework Equations

The Attempt at a Solution

When I integrated I came up with -(1/(16(2-4x)^4)), top - bottom which ends up being 0-(-.0004822) but it says that is wrong. Help please!

 

[Dick]

That looks fine to me. Maybe they want the exact answer as a fraction instead of the decimal approximation?

 

[loganblacke]

That looks fine to me. Maybe they want the exact answer as a fraction instead of the decimal approximation?

Good call, that is exactly what they were looking for, 1/20736. Whoever decided calculus homework should be done online should be tortured.

 

[Dick]

Good call, that is exactly what they were looking for, 1/20736. Whoever decided calculus homework should be done online should be tortured.

Online answer checking in general is a pain in the neck. It has no idea whether you are right or wrong, just whether it fits whatever form it's set to recognize. I sympathize.

 

[Bohrok]

When I integrated I came up with -(1/(16(2-4x)^4)), top - bottom which ends up being 0-(-.0004822) but it says that is wrong.

There should be four 0's after the decimal point: 0.000048225308641975306 ≈ 1/20736
So make sure your enter your number correctly when submitting it online.