Find the area of the region under the given curve over the indicated interval.
A) sq unit
B) sq units
C) sq unit
D) sq unit
E) sq unit

Question

Find the area of the region under the given curve  over the indicated interval. 
A) sq unit 
B) sq units 
C) sq unit 
D) sq unit 
E) sq unit

Quizplus · Accepted Answer

To find the area under the curve, we need to integrate the function with respect to x from the lower limit to the upper limit of the given interval. Using integration, we get:

∫(11eb12b0_a946_b771_b394_951f91c6e80a_TB7866_11)dx = [11eb12b0_a946_de86_b394_915349a5d6f9_TB7866_11*x] from 11eb12b0_a946_b772_b394_d102c2720b62_TB7866_11 to 11eb12b0_a946_b773_b394_fc7a3ee4a4c7_TB7866_11

Substituting the limits of integration, we get:

[11eb12b0_a946_de86_b394_915349a5d6f9_TB7866_11*(11eb12b0_a946_b773_b394_fc7a3ee4a4c7_TB7866_11 - 11eb12b0_a946_b772_b394_d102c2720b62_TB7866_11)]

Simplifying the expression using arithmetic operations, we get:

11eb12b0_a946_de84_b394_27678bbb12fd_TB7866_11 square units

Thus, the correct choice is B.

Find the Area of the Region Under the Given Curve