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Find the area of the region bounded by ...

Find the area of the region bounded by the line `y = 3x + 2`, the x-axis and the ordinates `x = 1 a n d x = 1`.

Text Solution

Verified by Experts

Required area=Area of ACBA +AREA OF CDEC
`=abs(int_-1^-(2/3)(3x+2)dx)+int_(-2/3)^1(3x+2)dx`
`{abs{3x^2/2+2x}_(-1)^(-2/3)}+[3x^2/2+2x]_(-2/3)^1`
`(abs(3/2xx4/9-4/3)-(3/2-2))`+`[(3/2xx1+2xx1)-(3/2xx4/9-4/3)]`
`{abs(-2/3+4/3)-(-1/2)}+[7/2(2/3+4/3)]`
`abs(-1/6)+(7/2+2/3)`
`1/6+25/6`
`26/6=13/3`
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