- Find the area of the region bounded by the curve y = x2, the x-axis, and the
lines x = 1 and x = 3.
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Area bounded by a curve with x axis is given by
∫ y dx for limits set by x
In this case x=1 is one limit and other limit set by y=3 which for y=x^2 is x=+/- √3,
Area limits are x= -√3 and x=1 as + √3 >1
∫ y dx= ∫ x^2 dx= x^3/3
At x=1…………..I=1/3
At x =-√3……...I=-√3
Evaluating I=1/3- -√3
Area is 1/3+√3= 1.3333+1.7321=3.0654
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