engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Laplace Transform Properties of Laplace Transform
The Laplace transform of \(x\left( t \right) = \mathop \smallint \limits_0^t {e^{ - 5\tau }}cos3\tau ~d\tau\) is
1
\(\frac{{s + 5}}{{s\left[ {{{\left( {s + 5} \right)}^2} + 9} \right]}}\)
2
\(\frac{{-s\left( {s + 5} \right)}}{{{{\left( {s + 5} \right)}^2} + 9}}\)
3
\(\frac{{-\left( {s + 5} \right)}}{{s\left[ {{{\left( {s + 5} \right)}^2} + 9} \right]}}\)
4
\(\frac{{s\left( {s + 5} \right)}}{{{{\left( {s + 5} \right)}^2} + 9}}\)