Evaluate the following definite integrals as limit of sums.`int_0^5(x+1)dx`

Explanation

To evaluate the definite integral \( \int_0^5 (x + 1) \, dx \) as a limit of sums, we can follow these steps:

### Step 1: Define the Integral
We start with the integral:
\[ I = \int_0^5 (x + 1) \, dx \]

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