What is laplacetransform (t^4)/(24) ?

The answer to laplacetransform (t^4)/(24) is 1/(s^5)

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laplacetransform (t^4)/(24)

laplace transform

\frac{t ^{4}}{24}

\frac{1}{s ^{5}}

Solution steps

L {\frac{t ^{4}}{24}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= \frac{1}{24} L {t^{4}}

L {t^{4}} : \frac{24}{s ^{5}}

= \frac{1}{24} \cdot \frac{24}{s ^{5}}

Refine

\frac{1}{24} \frac{24}{s ^{5}} : \frac{1}{s ^{5}}

= \frac{1}{s ^{5}}

\int \frac{1}{6 x lo g _{2} ( x )} d x

\int 4 x cos (2 - 3 x) d x

\int (8 x - 5) d x

(cos (2 t))^{^{'}}

\int (y^{\frac{5}{2}} - 5 y^{\frac{4}{3}} - 2 y^{\frac{1}{4}} - y) d y

What is laplacetransform (t^4)/(24) ?
The answer to laplacetransform (t^4)/(24) is 1/(s^5)