Math, asked by honeylyncalabines, 9 months ago

Find the area bounded by y²=x+4; x-2y+1=0

Answers

Answered by DaD3V1LQWUN33N
0

Answer:

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Step-by-step explanation:

The area of the region bounded by the curve, y  

2

=x, the lines, x=1 and x=4, and the x-axis is the area ABCD.

Thus area of ABCD =∫  

1

4

ydx

=∫  

1

4

 

x

dx

=[  

2

3

 

x  

2

3

 

 

]  

1

4

 

=  

3

2

[(4)  

2

3

 

−(1)  

2

3

 

]

=  

3

2

[8−1]

=  

3

14

 units

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