Hi all, I need some help. I'm taking system dynamics and control over the summer, but it's been over 3 years since my last calculus course, and some of these integrals are killing me.

$\displaystyle \int_1^{2.5} \frac{1}{0.05-0.02\sqrt{H}}\,dH$

is evaluated to be

$\displaystyle -250ln(0.05-0.02\sqrt{H})-100\sqrt{H}+250$ before plugging integration limits, but I can't even get here.

I've tried substituting the lower half with X, then going from there which gets me a partial answer, and I've tried integrating by parts. I'm so out of mental shape it hurts.

Happy 4th