Solving for Median of P(r) with Exponential Terms

[apiwowar]

Homework Statement

P(r) = 1-(2r²+2r+1)e^-2r

i know that p(r) is just the derivative of P(r)

to find the median i would just integrate from o to r and set that equal to .5
but when you integrate youre just going back to P(r) from 0 to r

so i get

1-(2r²+2r+1)e^-2r = .5

how would i go about solving this since i have the r's inside the parentheses and then the e raised to the -2r?

 

[LCKurtz]

You would solve it numerically.