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Question
Find the area of the region bounded by the curve y = x2 and the line y = 4.
Solution
Required area (A) = 2 × Area of OPQO
= `2 xx int_0^4 x . dy`
= `2 int_0^4 sqrt(y) . dy`
= `2 [(y^(3/2))/(3/2)]_0^4`
= `2 xx 2/3 xx 4^(3/2)`
= `2 xx 2/3 xx 8`
A = `32/3` sq. units.
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