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## Main Question or Discussion Point

I had just reviewed back the properties of Delta Dirac Function, however i'm having a little confusing about the first property as stated :

[tex]\delta\left(x-a)\right[/tex] = 0 if x [tex]\neq[/tex] a,

[tex]\delta\left(x-a)\right[/tex] = [tex]\infty[/tex] if x = a;

Here is my problem :

when integrate over the entire region (ranging from negative infinity to positive),

the total area is summed to be 1,

but from the property above, if x is allocated at x = a, it gives infinity value,

which means the area should be infinity as well, but why again it sticks to 1?

This is where i was confused about the property stated.

Thanks in advance.

[tex]\delta\left(x-a)\right[/tex] = 0 if x [tex]\neq[/tex] a,

[tex]\delta\left(x-a)\right[/tex] = [tex]\infty[/tex] if x = a;

Here is my problem :

when integrate over the entire region (ranging from negative infinity to positive),

the total area is summed to be 1,

but from the property above, if x is allocated at x = a, it gives infinity value,

which means the area should be infinity as well, but why again it sticks to 1?

This is where i was confused about the property stated.

Thanks in advance.