Integrating a function that's proportional to...
I am supposed to integrate a function that is proportional to
My initial strategy was to treat that as the reciprocal of
but that leaves me with the whole thing raised to an exponent of -1. I don't know how to take an antiderivative anything raised to -1!
So I decided to make a new variable, A, and set that equal to x+10. Taking the antiderivative of
was pretty easy, giving me
I just don't know if what I did was mathematically correct. (Getting a definite integral at that point was easy, and resulted in an answer close to one of my multiple choices.)
The thing is, I'm treating the whole thing as if I were getting the antid. of
Really I'm just dealing with an unknown function proportional to that. Is this something I haven't learned yet
or can I just take the antiderivative of what my function is proportional to?