Calculating Work to Send 1kg to Edge of Universe

[memomator]

If two masses m1 and m2 (in kg) are a distance d (in m) apart, then the force F (in N) of gravity is
F = Gm1m2/d2, where G = 6.67 × 10−11 Nm2/kg2. If the mass of the Earth is 5.97 × 1024 kg and the
radius of the Earth is 6380 km, calculate the work required (in J) to send a mass of 1 kg to the edge of
the universe. Be careful with units and note that this will involve an improper integral.

 

[Mark44]

What have you tried so far?

 

[memomator]

I need help starting it. I have tried using the way my physics teacher told me too, however i have no clue how to involve the use of improper fractions in this question

 

[Mark44]

What will the integral in this problem need to look like?