I like this way of thinking.

Math problems aren’t solved, they are conquered!

Well, this problem below was one that I had to defeat. I went to battle with it and after losing a few skirmishes (i.e., trying approaches that failed) I finally beat it into submission. From now on, when I see that feisty integral that won’t behave or a simple number puzzle whose pattern defies identification, I’ll strap on my armor (or sweater vest), grab my sword (or calculator) and wage full-out war on that problem. No problem is safe! From this blog post.