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Question
Fill in the blank :
The area of the region bounded by the curve x2 = y, the X-axis and the lines x = 3 and x = 9 is _______.
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Solution
Required area = `int_3^9 y*dx`
= `int_3^9 x^2*dx`
= `[x^3/3]_3^9`
= `(1)/(3)(9^3 - 3^3)`
= `(1)/(3)(729 - 27)`
= `(702)/(3)`
= 234 sq. units.
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