Thread: New more challenging and interesting calculus puzzle

You're not going to believe the answer to this integral:

where a and b are constants

You can just do v = a + bu.

Originally Posted by Ackbeet

You can just do v = a + bu.

Can you go on to solve it? (I'm sure you can, see what answer pops up)

Um, sure. Here goes. I get:

Spoiler:

Originally Posted by Ackbeet

Um, sure. Here goes. I get:

Spoiler:

I'll let you know tomorrow as Howard Anton's calculus book seems to give a different answer.

This answer is entirely equivalent to the following:

Spoiler:

Just multiply my answer out to get the other. Is this what your book has?

Originally Posted by Ackbeet

This answer is entirely equivalent to the following:

Spoiler:

Just multiply my answer out to get the other. Is this what your book has?

The book has which looks similar to your answer and is probably the same (after algebra verification).

It's interesting to note that such a simple looking integral leads to a monstrous result.