What is inverse oflaplace 1/(120x) ?

The answer to inverse oflaplace 1/(120x) is 1/120 \H(t)

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inverse oflaplace 1/(120x)

inverse laplace

\frac{1}{120 x}

\frac{1}{120} H (t)

Solution steps

L^{- 1} {\frac{1}{120 x}}

= L^{- 1} {\frac{1}{120} \cdot \frac{1}{x}}

Use the constant multiplication property of Inverse Laplace Transform:

For function

f (t)

and constant

a : L^{- 1} {a \cdot f (t)} = a \cdot L^{- 1} {f (t)}

= \frac{1}{120} L^{- 1} {\frac{1}{x}}

Use Inverse Laplace Transform table:

L^{- 1} {\frac{a}{s}} = a H (t)

Where

H (t)

is Heaviside step function

= \frac{1}{120} H (t)

\int_{- 2}^{2} f (x) d x

\int x^{2} (3 + 4 x^{3})^{9} d x

x \to o lim (f (x, \frac{1}{x}))

x \to 5 lim (x - 2)

x \to 0 lim (\frac{x ^{2}}{e ^{x}})

What is inverse oflaplace 1/(120x) ?
The answer to inverse oflaplace 1/(120x) is 1/120 \H(t)