What is laplacetransform 3x ?

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

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laplacetransform 3x

laplace transform

3 x

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

Solution steps

L {3 x}

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 {x}

L {x} : \frac{1}{s ^{2}}

= 3 \cdot \frac{1}{s ^{2}}

Refine

3 \frac{1}{s ^{2}} : \frac{3}{s ^{2}}

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

\int \frac{x - 9}{x ^{2} + 3 x - 10} d x

\int_{0}^{1} \frac{3}{2} x d x

\int_{- 1}^{2} ∣ x ∣ d x

d er i v a t i v e 8 x^{2} sin (x) tan (x)

\frac{d}{d x} (10000 (12 + x) e^{- 0.05 x})