How Does the Delta Function Affect Integral Values?

mpouternot · Sep 20, 2008

Homework Statement

I want to measure this integral ( Sd(x)δ(χ-c) , where c is constant
Thanks in advancE

Homework Equations

The Attempt at a Solution

HallsofIvy · Sep 20, 2008

Do you mean
[itex]\int \delta(x-c)dx[/itex]?

What is is the range of integration? Since you use the delta function, I assume you know how it is defined- immediately from the definition that integral is 1 if c is in the range of integration, 0 if not.

If you mean
[tex]\int_{-\infty}^x \delta(t-c)dt[/tex]
That is the "Heaviside step function" H(x-c), equal to 0 if x< c, 1 if [itex]x\ge c[/itex].

How Does the Delta Function Affect Integral Values?

Homework Statement

Homework Equations

The Attempt at a Solution

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How Does the Delta Function Affect Integral Values?

Homework Statement

Homework Equations

The Attempt at a Solution

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