Good physics problem!

There are 2 uniform thin rods of equal mass and equal length m and d respectively.They are separated by a distance of 2meters.Find the force the one apply on the other.Please try to use basic calculus.I solved and got the answer as $\frac{Gm^{2}ln(d+1)}{d^{2}}.$ Please verify and if my answer is wrong(I think my answer incorrect) then do share your method and answer.Thanks in advance.

#Gravitation

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$