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The area enclosed by y = 3x - 5, y = 0, ...

The area enclosed by y = 3x - 5, y = 0, x = 3 and x = 5 is

A

12 sq units

B

13 sq units

C

`13(1)/(2)` sq units

D

14 sq units

Text Solution

Verified by Experts

The correct Answer is:
D
Required area `=int_(3)^(5)(3x-5)dx`
`=((3x^(2))/(2)-5x)_(3)^(5)=((75)/(2)-25)-((27)/(2)-15)`
`=(75)/(2)-25-(27)/(2)+15=(48)/(2)-10=14` sq units
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