$h={1\mathrm{.}5}^{\text{'}\text{'}},t={0\mathrm{.}100}^{\text{'}\text{'}},b=3^{\text{'}\text{'}},L={10}^{\text{'}\text{'}},$& cyclic load $P$ causes stresses to oscillate between $35$ ksi & $-30$ ksi for the aircraft part shown. If the material is Aluminum, assume that the dimension $w$ is initially ${0\mathrm{.}0060}^{\text{'}\text{'}}$ and that it grows to ${0\mathrm{.}14039}^{\text{'}\text{'}}$ before fast fracture, then use calculus to determine the number of cycles to failure. $($Report the number of cycles as an integer and report the entire integer value$).$