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Signal and systems miscellaneous
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Signal and systems miscellaneous
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Signals and Systems
Signal and systems miscellaneous
The solution of integral
2
(t
3
+ 3) δ(t + 2)dt
– 1
– 5
– 2
Zero
11
Correct Option:
A
Given
2
(t
3
+ 3) δ(t + 2)dt
– 1
Since,
2
x(t) δ(t + t
0
)dt = x(– t
0
)
– 1
Therefore,
2
(t
3
+ 3) δ(t + 2)dt = t
3
+ 3|
at t = –2
– 1
= (– 2)
3
+ 3
= – 8 + 3 = – 5
Hence, alternative (A) is the correct choice.
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