- #1

- 143

- 2

## Homework Statement

$$L\{ 1*{ t }^{ 3 }\}$$

## Homework Equations

$$L\{ \int _{ 0 }^{ t }{ f(\tau )d\tau } \} =\frac { L\{ f(t)\} }{ s }$$

## The Attempt at a Solution

$$L\{ 1*{ t }^{ 3 }\} \\ =L\{ \int _{ 0 }^{ t }{ { (t-\tau ) }^{ 3 }d\tau } \} \\ =\frac { L\{ { t }^{ 3 }\} }{ s } \\ =\frac { 6 }{ { s }^{ 5 } }$$

The function in the integral is a function of t and tau so how was the identity under "relevant equations" applied?