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