What is laplacetransform 8t^3 ?

The answer to laplacetransform 8t^3 is (48)/(s^4)

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laplacetransform 8t^3

laplace transform

8 t^{3}

\frac{48}{s ^{4}}

Solution steps

L {8 t^{3}}

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)}

= 8 L {t^{3}}

L {t^{3}} : \frac{6}{s ^{4}}

= 8 \cdot \frac{6}{s ^{4}}

Refine

8 \frac{6}{s ^{4}} : \frac{48}{s ^{4}}

= \frac{48}{s ^{4}}

x \to + 0 - lim (\frac{2 ^{x} - 1}{x})

\int x^{5} 8 + x^{6} d x

\int \frac{e ^{x}}{1 + e ^{2 x}} d x

\int \frac{2 x - 1}{x ^{2} - 2 x + 1} d x

\frac{d}{d x} (\frac{1}{x ^{14}})

What is laplacetransform 8t^3 ?
The answer to laplacetransform 8t^3 is (48)/(s^4)