Life expectancy expected value

Calculus Level 3

f(x)=π14400xsin(π120x),  0<x<120f(x)=\frac{\pi}{14400}x\sin\left(\frac{\pi}{120}x\right),\ \ 0<x<120

A life insurance actuary estimates the probabilities of XX, a person's life expectancy, with the probability density function as described above.

According to this model, what is E[X]?\big\lfloor \text{E}[X]\big\rfloor?

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