1. **State the problem:** Calculate the summation $$\sum_{i=3}^4 i$$ which means adding all integer values of $i$ from 3 to 4 inclusive. 2. **Formula and explanation:** The summation $$\sum_{i=m}^n i$$ adds all integers starting at $i=m$ and ending at $i=n$. Here, $m=3$ and $n=4$. 3. **Calculate the sum:** $$\sum_{i=3}^4 i = 3 + 4$$ 4. **Perform the addition:** $$3 + 4 = 7$$ 5. **Final answer:** The value of the summation $$\sum_{i=3}^4 i$$ is **7**.