What is laplacetransform t^{5/2} ?

The answer to laplacetransform t^{5/2} is (15sqrt(pi))/(8s^{7/2)}

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laplacetransform t^{5/2}

laplace transform

t^{\frac{5}{2}}

\frac{15 π}{8 s ^{\frac{7}{2}}}

Solution steps

L {t^{\frac{5}{2}}}

Use Laplace Transform table:

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

L {t^{\frac{5}{2}}} = \frac{15 π}{2 ^{3} s ^{\frac{7}{2}}}

= \frac{15 π}{2 ^{3} s ^{\frac{7}{2}}}

= \frac{15 π}{8 s ^{\frac{7}{2}}}

\int x^{4} e^{(x^{5})} d x

x \to 5 lim (\frac{x ^{2} + 1}{x - 5})

\frac{1}{s ^{2} - 2 s + 3}

\frac{\partial}{\partial x} (3 x^{2} - 2 x + 6 y^{2} + 2 y + 2)

\int (u^{4} - u^{3} + u^{2}) d u

What is laplacetransform t^{5/2} ?
The answer to laplacetransform t^{5/2} is (15sqrt(pi))/(8s^{7/2)}