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I got 178.15 my professor got 188.15 what is going on here?
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\[\int\limits_{1}^{6}-.52x+37.45dx\]
you win http://www.wolframalpha.com/input/?i=integral+1+to+6+of++-.52x%2B37.45dx
well you get \[[-0.26x^2 + 37.45x]^6_{1}\]
or \[-.26\times 6^2+.26+5\times 37.45\]
I'd say you're professor made a typo
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