How to find mean of the this probability density function

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How to calculate the mean of

$f(x)=\displaystyle\frac{2.4\cdot 10^{10}} {{(x+2000)}^4}$ and $x > 0$

I thought I should use the expected value for the random variable but I couldn't solve the integral, any suggestions?

Below is my work, I couldn't go further since I forget some basic Calculus. Any tips?

$E(X)=\displaystyle\int_{0}^{\infty}xf(x)dx = \displaystyle\int_{0}^{\infty}x\frac{2.4\cdot 10^{10}} {{(x+2000)}^4}dx$