## Thomas' Calculus 13th Edition

Rewrite the equation: $\int t^{-3/2}dt$ with limits from 1 to 4 Integrate with respect to t by taking the antiderivative of each term. Then plug in limits to evaluate: $=-2t^{-1/2}$ with limits from 1 to 4 $=-2[(4)^{-1/2}-(1)^{-1/2}]=-2(\frac{1}{2}-1)=-2(-1/2)=1$