Answer
1
Work Step by Step
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
$=-2[(4)^{-1/2}-(1)^{-1/2}]=-2(\frac{1}{2}-1)=-2(-1/2)=1$
