0.8632
0.8696
Step-by-step explanation:
Your answer is accurate, but it's not the most precise option.
f(x) is decreasing and concave up on the interval. ┬аTherefore, trapezoidal rule will give us an area greater than the actual area, but closer than left-hand rule.
If f(x) were a straight line, then midpoint rule would give us the same area as trapezoidal rule. ┬аHowever, since f(x) is concave up, the midpoint is less than the average of the endpoints. ┬аSo midpoint rule will give us an area less than the actual area, but closer than right-hand rule.