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Question
The area of the region bounded by the curve y = x2, x = 0, x = 3, and the X-axis is ______.
Options
9 sq.units
`26/3` sq.units
`52/3` sq.units
18 sq.units
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Solution
The area of the region bounded by the curve y = x2, x = 0, x = 3 and X-axis is 9 sq.units.
Explanation:
Area of region = `int_a^b y.dx = int_0^3 x^2. dx`
= `[x^3/3]_0^3`
= `1/3 [3^3 - 0^3]`
= `1/3 xx 27`
= 9 sq.units.
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