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Question
Choose the correct alternative :
Area of the region bounded by the curve x2 = y, the X-axis and the lines x = 1 and x = 3 is _______.
Options
`(26)/(3)"sq. units"`
`(3)/(26)"sq. units"`
26 sq. units
3 sq. units
Solution
Required area = `int_1^2y*dx`
= `int_1^3x^2*dx`
= `[x^3/3]_1^3`
= `(1)/(3)(27 - 1)`
= `(26)/(3)"sq. units"`.
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