Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 80 integral 0 sin( x ) dx, n = 4

-20.41

Step-by-step explanation:

We are given that:

n = 4

a = 0 rad

b = 80 rad

f(x) = sin (x)

The length of each sub interval is given by:

The ends of each sub interval is found by, starting at a = 0, and adding 20 rad. The sub intervals are:

(0, 20) (20, 40) (40, 60) (60, 80)

The midpoints of each sub interval are the average between the start and end point:

(10) (30) (50) (70).

According to the midpoint rule, with n =4.

The approximate integral is -20.41

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step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35