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 February 21st, 2017, 05:48 PM #1 Newbie   Joined: Oct 2016 From: Toronto Posts: 3 Thanks: 0 How do I find the area? Area = summation from 3 to n=1 of f(s) * delta X =Summation from 3 to n=1 of 15+7sin(Pi*s/12) * 3 How do I solve this problem?
 February 21st, 2017, 06:17 PM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 895 You are summing over n but there is no n in the function to be summed??? Do you mean $\displaystyle \sum_{n=1}^3 15+ 7 sin\left(\frac{\pi n}{12}\right)*3$ or is it $\displaystyle \sum_{n=1}^3 (15+ 7sin\left(\frac{\pi n}{12}\right)(3)$? The second fits better with your $\sum_{n=1}^3 f(n)*\Delta x$ with $f(n)= 15+ 7sin\left(\frac{\pi n}{12}\right)$ and $\Delta x= 3$. If it is the second, write out the three terms, with n= 1, 2, and 3, and add: $[45+ 21 sin\left(\frac{\pi}{12}\right)]+ [45+ 21 sin\left(\frac{2\pi}{12}\right)]+[45+ 21 sin\left(\frac{3\pi}{12}\right)]= [45+ 21 sin\left(\frac{\pi}{12}\right)]+ [45+ 21 sin\left(\frac{\pi}{6}\right)]+[45+ 21 sin\left(\frac{\pi}{4}\right)]$ Last edited by Country Boy; February 21st, 2017 at 06:27 PM.

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