What is laplacetransform 3t^5 ?

The answer to laplacetransform 3t^5 is (360)/(s^6)

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laplacetransform 3t^5

laplace transform

3 t^{5}

\frac{360}{s ^{6}}

Solution steps

L {3 t^{5}}

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)}

= 3 L {t^{5}}

L {t^{5}} : \frac{120}{s ^{6}}

= 3 \cdot \frac{120}{s ^{6}}

Refine

3 \frac{120}{s ^{6}} : \frac{360}{s ^{6}}

= \frac{360}{s ^{6}}

\int (\frac{( x + 1 ) ( x - 2 )}{x}) d x

\int_{1}^{2} 4^{- θ} d θ

f (x) = 2 (2)^{4} - 16 (2)^{3} + 8

y^{^{'}} = - y + sin (x) + cos (x)

f (x) = 3 x + 2 z + 4 x z

What is laplacetransform 3t^5 ?
The answer to laplacetransform 3t^5 is (360)/(s^6)