1
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
If $$\,\,\,$$ $$L\left\{ {f\left( t \right)} \right\} = {{s + 2} \over {{s^2} + 1}},\,\,L\left\{ {g\left( t \right)} \right\} = {{{s^2} + 1} \over {\left( {s + 3} \right)\left( {s + 2} \right)}},$$
$$h\left( t \right) = \int\limits_0^t {f\left( T \right)} g\left( {t - T} \right)dT$$
then $$L\left\{ {h\left( t \right)} \right\}$$ is _______________.
A
$${{{s^2} + 1} \over {s + 3}}$$
B
$${1 \over {s + 3}}$$
C
$${{{s^2} + 1} \over {\left( {s + 3} \right)\left( {s + 2} \right)}} + {{s + 2} \over {{s^2} + 1}}$$
D
None
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