Find the area bounded by the parabola `y=x^2+1` and the straight line `x+y=3.`

Explanation

To find the area bounded by the parabola \( y = x^2 + 1 \) and the straight line \( x + y = 3 \), we will follow these steps:

### Step 1: Find the points of intersection
To find the area between the curves, we first need to determine the points where the parabola and the line intersect.

We can substitute \( y \) from the line equation into the parabola equation:
\[
y = 3 - x
...