A jet is flying from Los Angeles to New York. Once reaching altitude and prior to its descent, the jet's velocity for five hours is $~v(t)=525~$ mph. In the five-hour period, the total distance the plane travels is given by the definite integral below. What is its value?
$\displaystyle \int_{0}^{5}v(t)\,dt=$ [[☃ input-number 1]] miles