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Find the area of the region bounded by y...

Find the area of the region bounded by `y=-1,y=2, x=y^3 and x=0.`

Text Solution

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Required area = `|int_(0)^(2) x dy | + |int_(-1)^(0) x dy|`
`= |int_(0)^(2) y^(3) dy | + |int_(-1)^(0) y^(3) dy|`
`= |[(y^(4))/(4)]_(0)^(2)| + |[(y^(4))/(4)]_(0)^(-)|`
`4 + (1)/(4) = (17)/(4) ` sq. units .
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