Calculus help!!! integration
the concentration of a certain drug in a patient's bloodstream t hr after injection is decreasing at the rate

C'(t)=-0.33t/(sqrt0.02t^2+10) mg/cm^3 per hour

by how much does the concentration change over the first 4 hours after the injection?
book answer- the concentration decreasing at 0.8283 mg/cm^3

Question

Calculus help!!! integration 
 the concentration of a certain drug in a patient's bloodstream t hr after injection is decreasing at the rate 

C'(t)=-0.33t/(sqrt0.02t^2+10) mg/cm^3 per hour

by how much does the concentration change over the first 4 hours after the injection?
book answer- the concentration decreasing at 0.8283 mg/cm^3

anonymous · Answer

So you have to find the integral of that ugly equation. You find the integral to see what the concentration of the drug is in the bloodstream. You plug in the t=4 for the C'(t) equation to see what the first derivative test says. If it's negative, it's decreasing. If positive, increasing. 

Logically speaking, it's a drug in the body. The body gets rid of toxins and it should HOPEFULLY always be decreasing in concentration. 

It's incredibly difficult to figure out you equation however :( If you can, rewrite it using the equation button please

anonymous · Answer

$$-0.33t/\sqrt{0.02t ^{2}+10}$$

anonymous · Answer

This equation's integral is messy...and I'm not getting an answer that matches your book's! :( I'm stumped