Here is what I did:
(using the product rule to evaluate d/dx and separating the resultant integrals)
(just rewriting to pull out the minus sign)
Assuming that this is right so far, I don't know how to evaluate these two integrals. I'm thinking that maybe I can use FTC to simplify this process somehow?
You're right, but I'm still stuck. I just forgot to apply the chain rule on the derivatives, but all that does is adds a constant to each integral (I think):
I don't see a U substitution here. Am I approaching this correctly?
Isn't the integral of the derivative of a function just that function itself?
Originally Posted by joatmon
You can continue this way, no u-sub needed, just use,
but it should match up with what Hayden has said in post #4
That's what I was wondering, but I am used to seeing it the other way around (with the derivative on the outside), so I didn't think that was legal. Thanks!
Sorry, but I am still confused. If the integral and the derivative "cancel each other out", then do I just evaluate the function at the upper limit like this:
I got it. That's the answer. To finish this off: