Question

# Find the area bounded by the curve, $$\displaystyle y=x\left | x \right |$$, x-axis and the ordinates $$\displaystyle x=-\frac{1}{2}$$ and $$x = 1$$:

A
1324sq.units
B
1724sq.units
C
1124sq.units
D
None of these

Solution

## The correct option is D None of theseArea bounded$$= \int_{-1/2} ^ 0 -x^2dx + \int_{0} ^1 x^2dx$$$$= \cfrac{-x^3}{3}| _{-1/2} ^0 + \cfrac{x^3}{3} | _0 ^1$$$$= \cfrac{3}{8}$$Mathematics

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