Laplace transform 3t+1 - Wolfram|Alpha

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Input

ℒ_t[3 t + 1](s)

Result

(s + 3)/s^2

Plot

Plot

Plot

Partial fraction expansion

3/s^2 + 1/s

Root

s = -3

Properties as a real function

Domain

R (all real numbers)

Range

${y element R : y = (s + 3)/s^2}$

Derivative

d/ds((s + 3)/s^2) = -(s + 6)/s^3

Indefinite integral

integral(3 + s)/s^2 dt = (3 t)/s^2 + t/s + constant

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