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Question
Find the area of the region bounded by the following curves, the X-axis and the given lines:
y = x2 + 1, x = 0, x = 3
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Solution
Let A be the required area.
Consider the equation y = x2 + 1
∴ A = `int_0^3 y.dx`
= `int_0^3 (x^2 + 1).dx`
= `[x^3/3 + x]_0^3`
= `[3/3 + 3 - (0^3/3 + 0)]`
= `27/3 + 3 - 0`
= 9 + 3
∴ A = 12 sq.units
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