Question: Maple can integrate but can't plot

In the following worksheet I want the plot, but Maple can't generate it . I tried two ways-the first one took almost 40 minutes and gave an empty plot, the second one took almost 10 minutes and generate an incomplete plot.Also the integration is very slow,but still,it can do it.

So,can anybody help me with a better way to do things-using other numerical schemes/advanced plotting options-whatever it takes?    Or at least explain what is going on?

By the way,assigning Digits equal to a higher value at the starting of the worksheet doesn't help,it slows down the integration.So I think the problem is elsewhere.Actually I don't care much about the values of the integration,I need an accurate plot-a smooth/good-looking/accurate one.

Thanks in advance.

slow_integration_&_n.mw