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ScienceGeek24
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Homework Statement
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
Homework Equations
The substitution rule??
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?