Consider the area between the functionf(x)=-4x and the x-axis on the interval I=[0,3].

Answer represents the area UnDeR-estimate (little) with n rectangles

sn=

2.Consider the area between the functionf(x)=3x and the x-axis on the interval I=[2,5].

Which of the Sigma Notations below represent the area OvEr-estimatewith n rectangles?

=

3.()=^2 on the interval I=[0,4]. Using Desmos, what is the underestimate of the area using 40 rectangles (little s 40 )?

Express you answer as to two decimal places.

4.Consider the function

()=^2 on the interval I=[0,4]. Which of the Sigma Notations below match the Riemann Sum for the n=40 rectangle UndeR-estimate of the area between f(x) and the x-axis on the interval I?

5.Consider thefunction.()=5 . Determine the general antiderivativeof.