integral de 4 a 5 de (x^2-16)

Solución

\int_{4}^{5} (x^{2} - 16) d x

\frac{13}{3}

Pasos de solución

\int_{4}^{5} x^{2} - 16 d x

Aplicar la regla de la suma:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{4}^{5} x^{2} d x - \int_{4}^{5} 16 d x

\int_{4}^{5} x^{2} d x = \frac{61}{3}

\int_{4}^{5} 16 d x = 16

= \frac{61}{3} - 16

Simplificar

\frac{61}{3} - 16 : \frac{13}{3}

= \frac{13}{3}

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