Suppose you want to use the Midpoint Rule with n = 4 and equal-length subintervals to approximate $\int _ { 1 } ^ { 6 } e ^ { - x } d x$ ? What is ?x used for this approximation?

A)1
B)5/4
C)5/2
D)4
E)5

Question

Suppose you want to use the Midpoint Rule with n = 4 and equal-length subintervals to approximate $\int _ { 1 } ^ { 6 } e ^ { - x } d x$ ? What is ?x used for this approximation?

A)1
B)5/4
C)5/2
D)4
E)5

Quizplus · Accepted Answer

The Midpoint Rule approximation involves dividing the interval [1, 6] into n equal-length subintervals. With n = 4, the length of each subinterval is (6 - 1) / 4 = 5 / 4.

Suppose You Want to Use the Midpoint Rule with N ∫16e−xdx\int _ { 1 } ^ { 6 } e ^ { - x } d x∫16​e−xdx

Suppose You Want to Use the Midpoint Rule with N $\int _ { 1 } ^ { 6 } e ^ { - x } d x$