## anonymous 4 years ago Why is: (posting question in a reply)...

1. anonymous

$\int\limits_{}^{}85-3\sqrt(25-t)dt$ equal to $2(25-t)^{3/2} + 85t$ and not $85t - 2(25-t)^{3/2}$

2. TuringTest

u-substitution$u=25-t$$du=-dt\to dt=-du$so our integral becomes$\int\limits_{}^{}3\sqrt(25-t)dt=-3\int\sqrt udu=-2u^{3/2}=-2(25-t)^{3/2}$so as you can see, the u-sub caused the sign on the coefficient to change

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