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

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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
Gold Member
I assume (hope?) that was just a typo. :tongue2:

nevermind - i think i konw the answer

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