## Final Answer

## Step-by-step Solution

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Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, in this case $n=1$

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$\left[\frac{1}{2}x^2\right]_{-121}^{3}$

Learn how to solve problems step by step online. Integrate the function x from -121 to 3. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplifying.