Hello, buttonbear!

Your start is fine . . .

i have to do it using the integration by parts method

So far: .

Then: .

I said: . . . . . Right!

Then we have: .

. . . . . . . . . . .

. . . . . . . . . . .

So we have: .

. . . . . . . . .

Therefore: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Now, the new integral, , can be done by parts.

Or if you're lucky, you've already memorized its formula:

. . .