Suppose

f^('')(x)

is a continuous function such that

f^(')(2)=3

and

f^(')(4)=1

. Furthermore, suppose

\\\\int_2^4 x^(2)f^('')(x)dx=6

. Determine the value of

\\\\int_2^4 xf^(')(x)dx

using the provided information, if possible. Show all of your work.

Suppose f(x) is a continuous function such that f(2)=3 and f(4)=1. Furthermore, suppose 24x2f(x)dx=6. Determine the value of 24xf(x)dx using the provided information, if possible. Show all of your work