Let f (x) = $2 x + 1$ on the interval [ - 1,1]. Let the interval be divided into four equal subintervals. Find the value of the Riemann sum $\sum _ { i = 1 } ^ { 4 } f \left( x _ { i } ^ { * } \right) \Delta x _ { i } \text { if } x _ { i } ^ { * }$ is the midpoint of its subinterval.
A)1
B)2
C) $- 2$
D)0
E)6
F)3
G)4
H) $- 1$

Question

Let f (x) = $2 x + 1$ on the interval [ - 1,1]. Let the interval be divided into four equal subintervals. Find the value of the Riemann sum $\sum _ { i = 1 } ^ { 4 } f \left( x _ { i } ^ { * } \right) \Delta x _ { i } \text { if } x _ { i } ^ { * }$ is the midpoint of its subinterval.
A)1
B)2
C) $- 2$ 
D)0
E)6
F)3
G)4
H) $- 1$

Quizplus · Accepted Answer

The Answer of Let f (x) = $2 x + 1$ on the interval [ - 1,1]. Let the interval be divided into four equal subintervals. Find the value of the Riemann sum $\sum _ { i = 1 } ^ { 4 } f \left( x _ { i } ^ { * } \right) \Delta x _ { i } \text { if } x _ { i } ^ { * }$ is the midpoint of its subinterval.
A)1
B)2
C) $- 2$ 
D)0
E)6
F)3
G)4
H) $- 1$

Let F (X) = 2x+12 x + 12x+1 On the Interval [ - 1,1]

Let F (X) = $2 x + 1$ On the Interval [ - 1,1]