- #1

BlackMamba

- 187

- 0

Hello,

I have this integral that is stumping me. Once I get the basic start then I know I can finish the rest myself it's just getting started that's stumping me.

Here is the problem:

[itex]\int_{0}^{4} {e^\sqrt{x}} dx[/itex]

First this doesn't appear to me to be an improper integral. So I should just go ahead and solve as normal. But I'm told to find if the integral converges or diverges and evaluate it if it converges. So even though this integral is not an improper integral, I assume I can still apply the same rules.

To begin however, is where I'm getting stuck.

Substitution doesn't appear to help. if I use [itex]u = x^{1/2}[/itex]I think I'm making this harder than it needs to be...

Any and all input would be greatly appreciated!

I have this integral that is stumping me. Once I get the basic start then I know I can finish the rest myself it's just getting started that's stumping me.

Here is the problem:

[itex]\int_{0}^{4} {e^\sqrt{x}} dx[/itex]

First this doesn't appear to me to be an improper integral. So I should just go ahead and solve as normal. But I'm told to find if the integral converges or diverges and evaluate it if it converges. So even though this integral is not an improper integral, I assume I can still apply the same rules.

To begin however, is where I'm getting stuck.

Substitution doesn't appear to help. if I use [itex]u = x^{1/2}[/itex]I think I'm making this harder than it needs to be...

Any and all input would be greatly appreciated!

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