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Find the area bounded by the curves y=6x...

Find the area bounded by the curves `y=6x-x^2a n dy=x^2-2xdot`

A

18

B

19

C

20

D

21

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`A=int_(0)^(4){(6x-x^(2))-(x^(2)-2x)}dx`
`A=int_(0)^(4)(8x-2x^(2))dx`
`A=[4x^(2)-(2)/(3)x^(3)]_(0)^(4)=64-(128)/(3)=(64)/(3)` sq. units
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