$$ \ln $$ tegrate $$ \int_{-5}^{5}|x+2| d x $$

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Calculate or simplify the expression $$ \int_{-5}^{5}|x+2| d x $$.
Evaluate the integral by following steps:
- step0: Evaluate using formulas and rules:
  $$\int_{-5}^{5} \left|x+2\right| dx$$
- step1: Rewrite the expression:
  $$\int_{-5}^{-2} -x-2 dx+\int_{-2}^{5} x+2 dx$$
- step2: Evaluate the integral:
  $$\frac{9}{2}+\int_{-2}^{5} x+2 dx$$
- step3: Evaluate the integral:
  $$\frac{9}{2}+\frac{49}{2}$$
- step4: Calculate:
  $$29$$
The integral of $$|x+2|$$ from -5 to 5 is 29.
The integral of $$|x+2|$$ from -5 to 5 is 29.

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