Kernel of differentiation and integration

1. Jun 19, 2005

hi,
i got a algebra question regarding kernel

1.what is the kernel of intergration operator:
T(p)= p'(x)?

2. what is the kernel of differentiation operator :

T(p) = integration of p(x) from -1 to 1

thanks

2. Jun 19, 2005

Hurkyl

Staff Emeritus
Sounds like homework.

Have you done anything at all on these problems?

3. Jun 19, 2005

HallsofIvy

Staff Emeritus
You shouldn't even be attempting problems like these if you know nothing whatever about calculus- like which of these problems involves differentiation and which integration.

What is the definition of "kernel"?

4. Jun 19, 2005

Hurkyl

Staff Emeritus
I assume (hope?) that was just a typo. :tongue2:

5. Jun 19, 2005