I can't integrate cause of math range error

I can't integrate this in python (1/1+t))+(-1/exp(t)) [0,np.inf]

import numpy as np
from math import exp
from scipy.integrate import quad

print(quad(lamba t: (1/1+t))+(-1/exp(t)),0,np.inf)

It must show Euler constant

By the way, with this integral you will never have the Euler constant.

Euler constant is defined as (sorry I can't post images):

https://i.sstatic.net/z6iiM.jpg

So you have to change your lambda function to the following:

import numpy as np
from math import exp
from scipy.integrate import quad
f = lambda t: 1/t * (1/(1+t) - exp(-t))

In [21]: quad(f, 0.0, np.inf)
Out[21]: (0.5772156649015537, 3.613579096292482e-10)

The result is 0.5772156649015537 which is the value of the Euler constant.