What is laplacetransform 3t^2 ?

The answer to laplacetransform 3t^2 is 6/(s^3)

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laplacetransform 3t^2

laplace transform

3 t^{2}

\frac{6}{s ^{3}}

Solution steps

L {3 t^{2}}

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^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

= 3 \cdot \frac{2}{s ^{3}}

Refine

3 \frac{2}{s ^{3}} : \frac{6}{s ^{3}}

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

\int_{0}^{3} 5 e^{- 3 x} d x

\int \frac{1 - x}{1 - x} d x

x \to + (- \infty) + lim (- x^{2})

\int_{0}^{1} \frac{4}{x ^{2}} d x

x \to 0 + lim (x^{- \frac{4}{l n ( x )}})