(2 pts) Given that $$ f(x) $$ is an even function and that $$ \int_{-3}^{3} f(x) d x=8 $$, evaluate $$ \int_{-3}^{3} x^{3} \cdot f(x) d x $$. $$ \begin{array}{lll} ext { A. } 0 & ext { (B) } 48 & ext { (C) } 16\end{array} $$

Question

(2 pts) Given that $$ f(x) $$ is an even function and that $$ \int_{-3}^{3} f(x) d x=8 $$, evaluate $$ \int_{-3}^{3} x^{3} \cdot f(x) d x $$. $$ \begin{array}{lll}	ext { A. } 0 & 	ext { (B) } 48 & 	ext { (C) } 16\end{array} $$

Gibson Pena · Accepted Answer

The integral $$ \int_{-3}^{3} x^{3} \cdot f(x) \, dx $$ is 0.

(2 pts) Given that \( f(x) \) is an even function and that \( \int_{-3}^{3} f(x) d x=8 \), evaluate \( \int_{-3}^{3} x^{3} \cdot f(x) d x \). \( \begin{array}{lll}\text { A. } 0 & \text { (B) } 48 & \text { (C) } 16\end{array} \)

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Solución paso a paso

(2 pts) Given that \( f(x) \) is an even function and that \( \int_{-3}^{3} f(x) d x=8 \), evaluate \( \int_{-3}^{3} x^{3} \cdot f(x) d x \). \( \begin{array}{lll}\text { A. } 0 & \text { (B) } 48 & \text { (C) } 16\end{array} \)

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Respuesta rápida

Solución paso a paso

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