1. The problem statement, all variables and given/known data A model for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man over a 24 hour period? R(t) = 85 - 0.18cos (Pi*t/12) ∫(0to24) R(t)dt= ? kcal 2. Relevant equations The substitution rule?? 3. The attempt at a solution I tried to R(t)=85-0.18cos((πt)/(12)) = ∫(85-0.18cos((πt)/(12)))dt but i want to know from here what is the part that i have to use the u-substitution and from there evaluate. At first i thought that u= (πt)/(12) which i think it equaled= 0.26167t than i'm left with ∫85.0-0.18cos(0.26180t) dt. I went and looked around the internet just to confirm that my u substitution was right and i found a similar attempt to it. However, I am a little confused how this person reached from here ∫(85-0.18cos((πt)/(12)))dt to here 85.0t-0.68755sin0.26180t. How did he get 0.68755sin????