How to execute JSP from servlet, and get the response back to the servlet?

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Java

JSP

Hello, i'm trying to do the following:

i have a servlet, which executes some code.
in a case, i need to create a form element with stuff inside, and write it back to the "out" variable.

the problem is, i dont want to use a string builder to do it, i'd like to create a JSP page which holds the form, and forward the request params to it,
but also, when it finishes creating the page, i'd like to get the whole HTML back, and then print it to the "out" (in the servlet)

is it possible?