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Question

Mathematics Question on Area under Simple Curves

The area of the region bounded by the line y=2x+1y = 2x + 1, xx - axis and the ordinates x=1x = -1 and x=1x = 1 is

A

94\frac{9}{4}

B

22

C

52\frac{5}{2}

D

55

Answer

52\frac{5}{2}

Explanation

Solution

Area bounded by y=2x+1y = 2x+1 with xx- axis
=(1/2)(1/2)(1)+(1/2)(3/2)(3)= (1/2) (1/2)(1) +(1/2) (3/2)(3)
=5/2= 5/2 s units.