Math help, please I would love to know you opinion about this with steps

Question

C The concentration, C, of a drug in the blood as a function of the time, t, in hours since the drug was administered is given by C (t) = 15te(-0.2)t The area under the concentration curve is a measure of the overall effect of the drug on the body, called the bioavailability. Find the bioavailability of the drug between t = 0 and t = 3. please write the answer with steps

Answer 1

The area under the curve would be a definite integral. You want to do

∫15te^-0.2tdt from 0 to 3. Use integration by parts.

I will start you out.

u = 15t and dv = e^-0.2tdt Then du = 15dt and v = (1/-0.2)e^-0.2t.

You may submit more work and have it checked or ask questions about your work.