Definite integrals? PLEASE HELP ME?

Question

x 0 1 2 3 4 5 6

f(x) 9.3 9 8.3 6.5 2.3 -7.6 -10.5

the table gives the values of a function obtained from an experiment. use them to estimate the integral from 0 to 6 F(x) dx using three subintervals with (a) right endpoints, (b) left endpoints, (c) midpoints. if the function is known to be a decreasing function, can you say whether your estimates are less than or greater thean the exact value of the integral.

Please help i have know Idea what to do and my teacher is not alot of help

Answer 1

I think the um TI-84 calculator does that

um if u liked that vidoe what about this one

http://www.youtube.com/watch?v=JikCrEZwy...

Answer 2

1. first ges:

dx=1

intergal=sum(9.3, 9, ...-10.5)

first 3 points form strate line so yu kan get exakt intergal for that part.

2. rite end points: intergal=sum(9, 8.3, 6.5...-10.5)

3. left end points: sum(9.3,9,8.3....-7.6)

4. for the mid points, yu averaej av 2 points...(9.3+9)/2 for first point.

net result=[9.3+2*9+2*8.3...+2*(-7.6)+(-10.5... divided bi 2

sumthang rong with edit...it dont sho abuv line rite