I was talking to a girl I know who's an engineering major (I was think about becoming one), and she said that she has class from 9:00 - 12:30 every day, and then spends the rest of her time, up until about midnight, doing homework. Except for Friday nights and possibly Saturdays.
Is this true...
\int \frac{e^{\sqrt{x}}}{\sqrt{x}}
It's in the substitution rule/symmetric function section of my book, so I figure I probably have to use one of those techniques to solve it. I've tried doing a bunch of different u substitutions \sqrt{x}, e^{{\sqrt{x}}}, etc, but none of them seem right...
I'm about one week into a Calc II course, and I realized that I have no idea why finding the area under the curve (integrating) would be the inverse operation of finding slope (differentiating). I get that they are opposites, but not why that should be the case... it's not at all intuitive. Is...