Answer:
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. Therefore, 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. However, since f(x) is concave up, the midpoint is less than the average of the endpoints. So midpoint rule will give us an area less than the actual area, but closer than right-hand rule.
