# Kernel of differentiation and integration

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

Hurkyl
Staff Emeritus
Gold Member
Sounds like homework.

Have you done anything at all on these problems?

HallsofIvy
Homework Helper
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

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"?

Hurkyl
Staff Emeritus