It's easy in principle, but it's constantly repeated. I want to see if someone on Veeky Forums would actually waste their time doing this arbitrary problem.
Challenge
The answer is fuck off.
Integration by parts and trivial induction. Happy homework, OP.
Do it by hand bitch with all the work.
It's not homework faggot it's summer.
Would this be a bad calc 2 homework problem? Maybe with the 20 toned down to 10
This would be a shit calc 2 homework problem, it would take forever to do. As said, it's easy in principle it's just constant repeated integration by parts. Even 10 is a little much. x^5 would be good.
>induction
on what lol?
>Would this be a bad calc 2 homework problem?
Yeah, for many reasons. The first is that 20 is not a prime number. I hope that if you are professor then you at least have the fucking decency of giving your students nice numbers like primes. 3, 5 and 7 are the best prime numbers by the way.
If you, for some reason, can't do that then at least give them other cool numbers like squares or cubes. They will appreciate it.
And 20 is too much. You just want to test them to see if they have mastered the subject. x^3 is enough and 3 is a prime number. And if you, for some reason, already gave them the x^3 example worked out then x^5 and 5 is also a prime number.