Find the laplace transform of L\left\{f(x)\right\} being f(x)=\int_0^3 \cos (3t)dt

ka1leE 2021-09-10 Answered

Find the laplace transform of L{f(x)} being f(x)=03cos(3t)dt

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Expert Answer

Neelam Wainwright
Answered 2021-09-11 Author has 102 answers

Find L{f(x)} where f(x)=03cos(3t)dt
Given that f(x)=03cos(3t)dt , so we first calculate this integral.
f(x)=03cos(3t)dt=[sin(3t)3]03=13[sin9sin0]
f(x)=sin93
f(x) is a constant function
Now F(s)=L{f(x)}=0f(x)esxdx
=0sin93esxdx=sin930esxdx
=sin93[esxs]0=sin93s[ee0]
F(s)=L{f(x)}=13ssin9

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