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find the area bounded by the curves x = y 2 and x = 3 – 2y 2

find the area bounded by the curves x = y2 and x = 3 – 2y2

Grade:12

2 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
The area bounded will be given by

\int [y^2 - (3 - 2y^2)] dy

point of intersection will be

y2 = (3 – 2y2)
=> y2=1
=> y = +1 and -1
so limit of integration will be -1 to +1

So just solve this definite integration

Thanks,

Nishant

Shobhit Varshney IIT Roorkee
askIITians Faculty 33 Points
6 years ago
Hi,

point of intersection of two curves (1,1) and (1,-1)

Area bounded = Integration of [ (3-2y2) – y2] from y = -1 to y = 1

The integration come out to be 4 units.

thanks.............................................................................

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