What is laplacetransform 7t^5 ?

The answer to laplacetransform 7t^5 is (840)/(s^6)

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laplacetransform 7t^5

laplace transform

7 t^{5}

\frac{840}{s ^{6}}

Solution steps

L {7 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)}

= 7 L {t^{5}}

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

= 7 \cdot \frac{120}{s ^{6}}

Refine

7 \frac{120}{s ^{6}} : \frac{840}{s ^{6}}

= \frac{840}{s ^{6}}

\int sec (x) (sec (x) + tan (x)) d x

\int arctan (x) d x

y \to \infty lim (\frac{y ^{2} + 2}{5 y - 6})

x \frac{d y}{d x} - y = 7 x^{3}

\int x + 2 d x

What is laplacetransform 7t^5 ?
The answer to laplacetransform 7t^5 is (840)/(s^6)