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Question
Find the area of the region bounded by y = x2, the X-axis and x = 1, x = 4.
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Solution
Given: y = x2
Required area = `int_1^4y*dx`
= `int_1^4 x^2*dx`
= `[x^3/3]_1^4`
= `(1)/(3)(4^3 - 1^3)`
= `(1)/(3)(64 - 1)`
= `(1)/(3)(63)`
= 21 sq. units.
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