### Solution Found!

# Solved: In 1–18 use Definition 7.1.1 to find {f (t)}.

**Chapter 7, Problem 5E**

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**QUESTION:**

In Problems 1–18 use Definition 7.1.1 to find \(\mathscr{L}\{f(t)\}\).

\(f(t)=\left\{\begin{array}{lr}\sin t, & 0 \leq t< \\ 0, & t \geq\end{array}\right.\)

Text Transcription:

Lf(t)

f(t)=}lrsin t, & 0 \leq t< \0,&tgeq

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### Questions & Answers

**QUESTION:**

In Problems 1–18 use Definition 7.1.1 to find \(\mathscr{L}\{f(t)\}\).

\(f(t)=\left\{\begin{array}{lr}\sin t, & 0 \leq t< \\ 0, & t \geq\end{array}\right.\)

Text Transcription:

Lf(t)

f(t)=}lrsin t, & 0 \leq t< \0,&tgeq

**ANSWER:**

Step 1 of 6

In this problem we have to find the Laplace transform of the given function.

Given function is

Than definition of Laplace transform gives