- #1

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## Homework Statement

Calculate

[tex]\int_{0}^{4}\sqrt{x} e^{\sqrt{x})[/tex]

## The Attempt at a Solution

At first I tried substitution, but this didn't bring me anywhere since the integral is not of the form

[tex]\int f(g(x))g'(x)[/tex]

My attempt at integration by parts also leads to an endless loop. I used

[tex]u = e^{\sqrt{x}}[/tex]

Please give me some pointers here. I know I didn't include a whole attempt at a solution, but it's only to save myself some time with the typing (latex is still slow-going). However, if you really need me to include all I've done, I can do so.