Evaluate \(\mathop \smallint \limits_{ - \infty }^\infty {x^4}f\left( x \right)dx\), where,\(f\left( x \right) = \frac{1}{{\sqrt {2\pi } }}{e^{ - \left( {\frac{{{x^2}}}{2}} \right)}},\;x \in \left( { - \infty ,\;\infty } \right)\)

Evaluate \(\mathop \smallint \limits_{ - \infty }^\infty {x^4}f\left(

1.	Evaluate \(\mathop \smallint \limits_{ - \infty }^\infty {x^4}f\left( x \right)dx\), where,\(f\left( x \right) = \frac{1}{{\sqrt {2\pi } }}{e^{ - \left( {\frac{{{x^2}}}{2}} \right)}},\;x \in \left( { - \infty ,\;\infty } \right)\)
A.	3
B.	\(3\sqrt \pi \)
C.	\(\sqrt 3 \;\pi \)
D.	3π
Answer» B. \(3\sqrt \pi \)

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Evaluate \(\mathop \smallint \limits_{ - \infty }^\infty {x^4}f\left( x \right)dx\), where,\(f\left( x \right) = \frac{1}{{\sqrt {2\pi } }}{e^{ - \left( {\frac{{{x^2}}}{2}} \right)}},\;x \in \left( { - \infty ,\;\infty } \right)\)

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