What is laplacetransform 6t^4 ?

The answer to laplacetransform 6t^4 is (144)/(s^5)

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laplacetransform 6t^4

laplace transform

6 t^{4}

\frac{144}{s ^{5}}

Solution steps

L {6 t^{4}}

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)}

= 6 L {t^{4}}

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

= 6 \cdot \frac{24}{s ^{5}}

Refine

6 \frac{24}{s ^{5}} : \frac{144}{s ^{5}}

= \frac{144}{s ^{5}}

f (x) = 4 - x^{2}, at x = - 1

\int \frac{1}{10 x ^{7}} d x

y^{'} = y (3 - y)

\int (cos (y) sin (x)) d y

\int \frac{9 sec ^{2} ( x )}{tan ( x )} d x

What is laplacetransform 6t^4 ?
The answer to laplacetransform 6t^4 is (144)/(s^5)