A

To solve the integral \( \int (xe^x + e^x + e^e)dx \), we can break it down into three separate integrals:
1. \( \int xe^x dx \)
2. \( \int e^x dx \)
3. \( \int e^e dx \)

**Step 1: Calculate \( \int xe^x dx \)**
We use integration by parts. Let \( u = x \) and \( dv = e^x dx \), then \( du = dx \) and \( v = e^x \).
Applying integration by parts:
\[ \int u \, dv = uv - \int v \, du \]
So,
\[ \int xe^x dx = xe^x - \int e^x dx = xe^x - e^x + C_1. \]

**Step 2: Calculate \( \int e^x dx \)**
This integral is straightforward:
\[ \int e^x dx = e^x + C_2. \]

**Step 3: Calculate \( \int e^e dx \)**
Since \( e^e \) is a constant, the integral is:
\[ \int e^e dx = e^e x + C_3. \]

**Combining all parts:**
Therefore, the final result of the integral is:
\[ \int (xe^x + e^x + e^e)dx = (xe^x - e^x) + e^x + e^e x + C = xe^x + e^e x + C, \] where \( C = C_1 + C_2 + C_3 \).

The answer is: \( xe^x + e^e x + C \).