Calcular la integral definida \( \int_{-2}^{1} x^{3} d x \)

Calculate or simplify the expression \( \int_{-2}^{1} x^{3} dx \). Evaluate the integral by following steps: - step0: Evaluate using formulas and rules: \(\int_{-2}^{1} x^{3} dx\) - step1: Evaluate the integral: \(\int x^{3} dx\) - step2: Evaluate the integral: \(\frac{x^{3+1}}{3+1}\) - step3: Add the numbers: \(\frac{x^{4}}{3+1}\) - step4: Add the numbers: \(\frac{x^{4}}{4}\) - step5: Return the limits: \(\left(\frac{x^{4}}{4}\right)\bigg |_{-2}^{1}\) - step6: Calculate the value: \(-\frac{15}{4}\) La integral definida \( \int_{-2}^{1} x^{3} dx \) es igual a -3.75.