find the area function A(x) for the function y=t with a=0. please include graph with solution.

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aruv | High School Teacher | (Level 2) Valedictorian

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By Fundamental Theorem of Integral Calculus ,the area function A(x)





`inttdt=t^2/2+c`     where c is an integrating constant.We determine C with the given condition a=0.



`0/2+c=0`   (put t=0=a)


Thus we have



Thus area function is


Its graph is





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