(1 point) Consider the function

f(x)=(x^(2))/(4)-3

\ In this problem you will calculate

\\\\int_0^4 ((x^(2))/(4)-3)dx

by using the definition\

\\\\int_a^b f(x)dx=\\\\lim_(n->\\\\infty )[\\\\sum_(i=1)^n f(x_(i))\\\\Delta x]

\ The summation inside the brackets is

R_(n)

which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval.\ Calculate

R_(n)

for

f(x)=(x^(2))/(4)-3

on the interval

0,4

and write your answer as a function of

n

without any summation signs. You will need the summation formulas in Section 5 of your textbook\

R_(n)=\ \\\\lim_(n->\\\\infty )R_(n)=

The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x)=4x23 on the interval [0,4] and write your answer as a function of n without any summation signs. You will need the summation formulas in Section 5 of your textbook. Rn= limRn=