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Using integration, find the area of the ...

Using integration, find the area of the region bounded by the line `2y=5x+7, X-axis` and the line x = 2 and x = 8.

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The correct Answer is:
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We have,`22y=5x+7`
`rArry=(5x)/2+7/2`

`:. " Area of shaded region "=1/2int_(2)^(8)(5x+7)dx=1/2[5. (x^(2))/2+7x]_(2)^(8)`
`=1/2[5.32+7.8-10-14]1/2[160+56-24]`
`=192/2=96" sq units"`
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