I believe this problem involves the integral test, its very new to me. Please help me with this one.
integral int 0 infinity
xe^5x dx
thankyou for any help.
A shortcut to integration by parts is tabular integration.
IBP:
Now, use parts by letting
Putting it all together via parts gives us:
Now, what's the limit as ?.
For what it's worth, here's a graph showing the Riemann sum. As you can see, it's pretty large just from 0 to 10.