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人気のある微分積分 >

laplacetransform t^{9/2}

解

ラプラス変換

t^{\frac{9}{2}}

解

\frac{945 π}{32 s ^{\frac{11}{2}}}

解答ステップ

L {t^{\frac{9}{2}}}

ラプラス変換表を使用する:

L {t^{n - 1/2}} = \frac{( 2 n - 1 ) !! π}{2 ^{n} s ^{n + 1/2}}

L {t^{\frac{9}{2}}} = \frac{945 π}{2 ^{5} s ^{\frac{11}{2}}}

= \frac{945 π}{2 ^{5} s ^{\frac{11}{2}}}

= \frac{945 π}{32 s ^{\frac{11}{2}}}

人気の例

integral of-1/512 sin(8x)

\int - \frac{1}{512} sin (8 x) d x

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x \to - 1 lim (\frac{x ^{3} - x}{x - 1})

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